Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Geometric, probabilistic and analytic theory of topological quantum groups and its interaction with operator algebras

2014/14/E/ST1/00525

Keywords:

quantum groups operator algebras geometric theory of quantum groups

Descriptors:

  • ST1_9: Operator algebras and functional analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Adam Skalski 

Number of co-investigators in the project: 6

Call: SONATA BIS 4 - announced on 2014-06-16

Amount awarded: 660 140 PLN

Project start date (Y-m-d): 2015-04-27

Project end date (Y-m-d): 2022-04-26

Project duration:: 84 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Drukarka ze skanerem (2 000 PLN)
  2. Komputer przenośny (2 szt.) (14 000 PLN)
  3. Komputer stacjonarny (2 szt.) (10 000 PLN)
  4. monitor.

Information in the final report

  • Publication in academic press/journals (42)
  • Articles in post-conference publications (2)
  1. Quantum actions on discrete quantum spaces and a generalization of Clifford's theory of representations.
    Authors:
    Kenny De Commer, Paweł Kasprzak, Adam Skalski and Piotr M. Sołtan
    Academic press:
    Israel Journal of Mathematics (rok: 2018, tom: 226, strony: 475-503), Wydawca: HEBREW UNIV MAGNES PRESS
    Status:
    Published
    DOI:
    10.1007/s11856-018-1709-x - link to the publication
  2. Actions of locally compact (quantum) groups on ternary rings of operators, their crossed products, and generalized Poisson boundaries
    Authors:
    Pekka Salmi, Adam Skalski
    Academic press:
    Kyoto Journal of Mathematics (rok: 2017, tom: 57, strony: 667-691), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/21562261-2017-0011 - link to the publication
  3. Aperiodicity, topological freeness and more: from group actions to Fell bundles
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    Studia Mathematica (rok: 2018, tom: 241, strony: 257-302), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm8762-5-2017 - link to the publication
  4. From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture
    Authors:
    Haonan Zhang
    Academic press:
    Advances in Mathematics (rok: 2020, tom: 365, strony: 107053), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2020.107053 - link to the publication
  5. Induction for locally compact quantum groups revisited
    Authors:
    Mehrdad Kalantar, Paweł Kasprzak, Adam Skalski, Piotr Sołtan
    Academic press:
    Proc. Roy. Soc. Edinburgh Sect. A (rok: 2020, tom: 150, strony: 1071-1093), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/prm.2018.94 - link to the publication
  6. Infinitely divisible states on finite quantum groups
    Authors:
    Haonan Zhang
    Academic press:
    Mathematische Zeitschrift (rok: 2020, tom: 294, strony: 571-592), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-019-02288-8 - link to the publication
  7. Nuclear dimension of simple stably projectionless C∗-algebras
    Authors:
    Jorge Castillejos, Samuel Evington
    Academic press:
    Analysis & PDE (rok: 2020, tom: 13, strony: 2205-2240), Wydawca: Mathematical Science Publishers
    Status:
    Published
    DOI:
    10.2140/apde.2020.13.2205 - link to the publication
  8. On C*-completions of discrete quantum group rings
    Authors:
    Martijn Caspers and Adam Skalski
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2019, tom: 51, strony: 691-704), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1112/blms.12267 - link to the publication
  9. The canonical central exact sequence for locally compact quantum groups
    Authors:
    Paweł Kasprzak, Adam Skalski, Piotr Sołtan
    Academic press:
    Mathematische Nachrichten (rok: 2017, tom: 290, strony: 1303-1316), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201600208 - link to the publication
  10. Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms
    Authors:
    Adam Skalski i Ami Viselter
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2019, tom: 124, strony: 59-105), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2018.04.007 - link to the publication
  11. Idempotent states on Sekine quantum groups
    Authors:
    Haonan Zhang
    Academic press:
    Communications in Algebra (rok: 2019, tom: 47, strony: 4095-4113), Wydawca: TAYLOR & FRANCIS
    Status:
    Published
    DOI:
    10.1080/00927872.2019.1579335 - link to the publication
  12. Introduction to compact and discrete quantum groups
    Authors:
    Uwe Franz, Adam Skalski, Piotr Sołtan
    Academic press:
    Banach Center Publications (rok: 2017, tom: 111, strony: 11567), Wydawca: Mathematical Institute, Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/bc111-0-1 - link to the publication
  13. L_p-improving convolution operators on finite quantum groups
    Authors:
    Simeng Wang
    Academic press:
    Indiana University Mathematics Journal (rok: 2016, tom: 65, strony: 1609-1637), Wydawca: INDIANA UNIV MATH JOURNAL
    Status:
    Published
    DOI:
    10.1512/iumj.2016.65.5881 - link to the publication
  14. Quantum families of invertible maps and related problems
    Authors:
    Adam Skalski, Piotr Sołtan
    Academic press:
    Canadian Journal of Mathematics (rok: 2016, tom: 68, strony: 698–720), Wydawca: Canadian Journal of Mathematics
    Status:
    Published
    DOI:
    10.4153/CJM-2015-037-9 - link to the publication
  15. The RFD and KAC quotients of the Hopf*-algebras of universal orthogonal quantum groups
    Authors:
    Biswarup Das, Uwe Franz i Adam Skalski
    Academic press:
    Annales Mathematiques Blaise Pascal (rok: 2021, tom: 28, strony: 141-155), Wydawca: Laboratoire de Mathématiques Blaise Pascal
    Status:
    Published
    DOI:
    10.5802/ambp.402 - link to the publication
  16. Type I locally compact quantum groups: integral characters and coamenability
    Authors:
    Jacek Krajczok
    Academic press:
    Dissertationes Mathematicae (rok: 2021, tom: 561, strony: 1-151), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/dm818-9-2020 - link to the publication
  17. Around property (T) for quantum groups.
    Authors:
    Matthew Daws, Adam Skalski, Ami Viselter
    Academic press:
    Communications in Mathematical Physics (rok: 2017, tom: 353, strony: 69-118), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-017-2862-5 - link to the publication
  18. Classifying right-angled Hecke C*-algebras via K-theoretic invariants
    Authors:
    Sven Raum and Adam Skalski
    Academic press:
    Advances in Mathematics (rok: 2022, tom: 407, strony: Paper No. 108559.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2022.108559 - link to the publication
  19. Generating Functionals for Locally Compact Quantum Groups
    Authors:
    Adam Skalski i Ami Viselter
    Academic press:
    International Mathematics Research Notices (rok: 2021, tom: 14, strony: 10981-11009), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnz387 - link to the publication
  20. Idempotent states on locally compact quantum groups II
    Authors:
    Pekka Salmi, Adam Skalski
    Academic press:
    Quarterly Journal of Mathematocs (rok: 2017, tom: 68, strony: 421–431), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/qmath/haw045 - link to the publication
  21. Lacunary Fourier Series for Compact Quantum Groups
    Authors:
    Simeng Wang
    Academic press:
    Communications in Mathematical Physics (rok: 2017, tom: 341 (3), strony: 895–945), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00220-016-2670-3 - link to the publication
  22. Maximal subgroups and von Neumann subalgebras with the Haagerup property
    Authors:
    Yongle Jiang i Adam Skalski
    Academic press:
    Groups, Geometry and Dynamics (rok: 2021, tom: 15, strony: 849-892), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/GGD/614 - link to the publication
  23. Nica-Toeplitz algebras associated with right tensor C∗-precategories over right LCM semigroups
    Authors:
    Bartosz Kwaśniewski, Nadia Larsen
    Academic press:
    International Journal of Mathematics (rok: 2019, tom: 30, strony: 1950013), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X19500137 - link to the publication
  24. Amalgamated direct sums of operator spaces
    Authors:
    Mateusz Wasilewski
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2016, tom: 48, strony: 155-162), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1112/blms/bdv093 - link to the publication
  25. Integration over the quantum diagonal subgroup and associated Fourier-like algebras
    Authors:
    Uwe Franz, Hun Hee Lee, Adam Skalski
    Academic press:
    International Journal of Mathematics (rok: 2016, tom: 27 (9), strony: 1650073), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X16500737 - link to the publication
  26. Nica–Toeplitz algebras associated with product systems over right LCM semigroups
    Authors:
    Nadia Larsen i Bartosz Kwaśniewski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2019, tom: 470, strony: Pages 532-570), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.020 - link to the publication
  27. Noncommutative Furstenberg boundary
    Authors:
    Mehrdad Kalantar, Paweł Kasprzak, Adam Skalski i Roland Vergnioux
    Academic press:
    Analysis & PDE (rok: 2022, tom: 15, strony: 795–842), Wydawca: MSP (Mathematical Sciences Publishers)
    Status:
    Published
    DOI:
    10.2140/apde.2022.15.795 - link to the publication
  28. Nuclear dimension of simple C*-algebras
    Authors:
    Jorge Castillejos, Sam Evington, Aron Tikuisis, Stuart White and Wilhelm Winter
    Academic press:
    Inventiones Mathematicae (rok: 2021, tom: 224, strony: 245-290), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00222-020-01013-1 - link to the publication
  29. On MASAs in q-deformed von Neumann algebras
    Authors:
    Martijn Caspers, Adam Skalski i Mateusz Wasilewski
    Academic press:
    Pacific Journal of Mathematics (rok: 2019, tom: 302, strony: 45312), Wydawca: MSP
    Status:
    Published
    DOI:
    10.2140/pjm.2019.302.1 - link to the publication
  30. On the Baum-Connes conjecture for discrete quantum groups with torsion and the quantum Rosenberg conjecture
    Authors:
    Yuki Arano i Adam Skalski
    Academic press:
    Proceedings of the AMS (rok: 2021, tom: 149, strony: 5237-5254), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15598 - link to the publication
  31. Positive Herz-Schur multipliers and approximation properties of crossed products
    Authors:
    Andrew McKee, Adam Skalski, Ivan Todorov, Lyudmila Turowska
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society (rok: 2018, tom: 165, strony: 511–532), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0305004117000639 - link to the publication
  32. Quantum symmetries of the twisted tensor products of C*-algebras
    Authors:
    Jyotishman Bhowmick, Arnab Mandal, Sutanu Roy and Adam Skalski
    Academic press:
    Communications in Mathematical Physics (rok: 2019, tom: 368, strony: 1051-1085), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-018-3279-5 - link to the publication
  33. Second cohomology groups of the Hopf∗-algebras associated to universal unitary quantum groups
    Authors:
    Biswarup Das, Uwe Franz, Anna Kula i Adam Skalski
    Academic press:
    Annales de l'Institut Fourier , Wydawca: Institut Fourier
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  34. $q$-Araki-Woods algebras: Extension of second quantisation and Haagerup apparoximation property
    Authors:
    Mateusz Wasilewski
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2017, tom: 145, strony: 5287–5298), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13681 - link to the publication
  35. Fixed points and limits of convolution powers of contractive quantum measures
    Authors:
    Matthew Neufang, Pekka Salmi, Adam Skalski, Nico Spronk
    Academic press:
    Indiana University Mathematics Journal (rok: 2021, tom: 70, strony: 1971-2009), Wydawca: University of Indiana
    Status:
    Published
    DOI:
    10.1512/iumj.2021.70.8692 - link to the publication
  36. Lévy-Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups
    Authors:
    Biswarup Das, Uwe Franz, Anna Kula, Adam Skalski
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics (rok: 2018, tom: 21, strony: 1850017, 36 pp), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025718500170 - link to the publication
  37. Maximal Haagerup subalgebras in L(Z2⋊SL2(Z))
    Authors:
    Yongle Jiang
    Academic press:
    Journal of Operator Theory (rok: 2021, tom: 86, strony: 203-230), Wydawca: Theta Foundation
    Status:
    Published
    DOI:
    10.7900/jot.2020mar09.2282 - link to the publication
  38. Maximal von Neumann subalgebras arising from maximal subgroups
    Authors:
    Yongle Jiang
    Academic press:
    Science China Mathematics (rok: 2021, tom: 64, strony: 2295-2312), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11425-020-1671-9 - link to the publication
  39. Open quantum subgroups of locally compact quantum groups
    Authors:
    Mehrdad Kalantar, Paweł Kasprzak, Adam Skalski
    Academic press:
    Advances in Mathematics (rok: 2016, tom: 303 (3), strony: 322-359), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2016.08.010 - link to the publication
  40. Remarks on factoriality and $q$-deformations
    Authors:
    Adam Skalski, Simeng Wang
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2018, tom: 146, strony: 3813-3823), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13715 - link to the publication
  41. The Haagerup property for twisted groupoid dynamical systems
    Authors:
    Bartosz Kwaśniewski, Kang Li i Adam Skalski
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283, strony: 109484, 23 pp), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109484 - link to the publication
  42. Wreath products of finite groups by quantum groups
    Authors:
    Amaury Freslon, Adam Skalski
    Academic press:
    Journal of the Noncommutative Geometry (rok: 2018, tom: 12, strony: 29-68), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/JNCG/270 - link to the publication
  1. Quantum Dirichlet forms and their recent applications
    Authors:
    Adam Skalski
    Conference:
    Geometric Methods in Physics XXXVII (rok: 2018, ), Wydawca: Birkhauser
    Data:
    konferencja June
    Status:
    Published
  2. Singular subgroups in A~2-groups and their von Neumann algebras
    Authors:
    Piotr Nowak and Yongle Jiang
    Conference:
    International Workshop on Operator Theory and its Applications 2018 (rok: 2020, ), Wydawca: Springer
    Data:
    konferencja 2018
    Status:
    Published
    DOI:
    link to the publication

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