Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Topological quantum groups and quantum families of maps

2011/01/B/ST1/05011

Keywords:

quantum group C*-algebra quantum family of maps quantum group action

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 :

Uniwersytet Warszawski, Wydział Fizyki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Piotr Sołtan 

Number of co-investigators in the project: 5

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 223 000 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2014-11-30

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Drukarka.
  2. komputer przenośny (2 499 PLN)
  3. komputer przenośny z pamięcią zewnętrzną (5 000 PLN)
  4. Elektroniczne urządzenie do czytania książek (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (21)
  • Articles in post-conference publications (1)
  1. Inclusions of ternary rings of operators and conditional expectations
    Authors:
    Pekka Salmi, Adam Skalski
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society (rok: 2013, tom: 155, strony: 475-482), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S030500411300042X - link to the publication
  2. Quantum random walk approximation on locally compact quantum groups
    Authors:
    J.Martin Lindsay, Adam Skalski
    Academic press:
    Letters in Mathematical Physics (rok: 2013, tom: 103, strony: 765-775), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-013-0613-x - link to the publication
  3. Quantum symmetry groups of C*-algebras equipped with orthogonal filtrations
    Authors:
    Teodor Banica, Adam Skalski
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2013, tom: 106, strony: 980-1004), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/plms/pds071 - link to the publication
  4. Contractive idempotents on locally compact quantum groups
    Authors:
    Matthias Neufang, Pekka Salmi, Adam Skalski, Nico Spronk
    Academic press:
    Indiana University Mathematics Journal (rok: 2013, tom: 1983-2002, strony: 1983-2002), Wydawca: Indiana University: Department of Mathematics
    Status:
    Published
  5. A note on amenability of locally compact quantum groups
    Authors:
    P.M. Sołtan, A. Viselter
    Academic press:
    Canadian Mathematical Bulletin (rok: 2012, tom: CMB-2012-032-3, strony: http://dx.doi.org/10.4153/CMB-2012-032-3), Wydawca: Canadian Mathematical Society
    Status:
    Published
    DOI:
    10.4153/CMB-2012-032-3 - link to the publication
  6. Closed quantum subgroups of locally compact quantum groups
    Authors:
    M. Daws, P. Kasprzak, A. Skalski, P.M. Sołtan
    Academic press:
    Advances in Mathematics (rok: 2012, tom: 231, strony: 3473–3501), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2012.09.002 - link to the publication
  7. On square roots of the Haar state on compact quantum groups
    Authors:
    U. Franz, A. Skalski, R. Tomatsu
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2012, tom: 216, strony: 2079–2093), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2012.01.020 - link to the publication
  8. On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set
    Authors:
    D.Goswami, A. Skalski
    Academic press:
    Banach Center Publications (rok: 2012, tom: 98, strony: 199-214), Wydawca: PAN
    Status:
    Published
    DOI:
    10.4064/bc98-0-7 - link to the publication
  9. Projective limits of quantum symmetry groups and the doubling construction for Hopf algebras
    Authors:
    A. Skalski, P.M. Sołtan
    Academic press:
    Infin. Dimens. Anal. Quantum. Probab. Relat. Top. (rok: 2014, tom: 17, strony: 1450012-1—1450012-27), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/s021902571450012x - link to the publication
  10. Quantum isometry groups of symmetric groups
    Authors:
    J. Liszka-Dalecki, P.M. Sołtan
    Academic press:
    International Journal of Mathematics (rok: 2012, tom: 23, strony: 1250074-1–25), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X12500747 - link to the publication
  11. Quantum groups with projection on von Neumann algebra level
    Authors:
    P. Kasprzak, P.M. Sołtan
    Academic press:
    Journal of Mathematical Analysis and Applications , Wydawca: Elsevier
    Status:
    Accepted for publication
  12. Embeddable quantum homogeneous spaces
    Authors:
    P. Kasprzak, P.M. Sołtan
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2014, tom: 411, strony: 574–591), Wydawca: Eslevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2013.07.084 - link to the publication
  13. Noncommutative homogeneous spaces: The matrix case
    Authors:
    T. Banica, A. Skalski, P.M. Sołtan
    Academic press:
    Journal of Geometry and Physics (rok: 2012, tom: 62, strony: 1451–1466), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2012.02.003 - link to the publication
  14. On quantum maps into quantum semigroups
    Authors:
    P.M. Sołtan
    Academic press:
    Houston Journal of Mathematics (rok: 2014, tom: 40, strony: 779–790), Wydawca: University of Houston. Dept. of Mathematics
    Status:
    Published
  15. Quantum group-twisted tensor products of C*-algebras
    Authors:
    R. Meyer, S. Roy, S.L. Woronowicz
    Academic press:
    International Journal of Mathematics (rok: 2014, tom: 25, strony: 1450019-1--1450019-37), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/s0129167x14500190 - link to the publication
  16. Rieffel Deformation of Tensor Functor and Braided Quantum Groups
    Authors:
    P. Kasprzak
    Academic press:
    Communications in Mathematical Physics , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00220-015-2296-x - link to the publication
  17. Quantum groups with projection and extensions of locally compact quantum groups
    Authors:
    P. Kasprzak, P.M. Sołtan
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
  18. Idempotent states and the inner linearity property
    Authors:
    T. Banica, U. Franz, A. Skalski
    Academic press:
    Bulletin of the Polish Academy of Sciences, Mathematics 60 (2012), 123–132 (rok: 2012, tom: 60, strony: 123-132), Wydawca: PAN
    Status:
    Published
    DOI:
    10.4064/ba60-2-3 - link to the publication
  19. Quantum Feynman-Kac perturbations
    Authors:
    A. Belton, J.M.Lindsay, A. Skalski
    Academic press:
    Journal of the London Mathematical Society (rok: 2014, tom: 89, strony: 275-300), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/jlms/jdt048 - link to the publication
  20. Quantum automorphism groups of finite quantum groups are classical
    Authors:
    P. Kasprzak, P.M. Sołtan, S.L. Woronowicz
    Academic press:
    Journal of Geometry and Physics (rok: 2015, tom: 89, strony: 32–37), Wydawca: Elsevier
    Status:
    Published
  21. Quantum group of automorphisms of a finite quantum group
    Authors:
    J. Bhowmick, A. Skalski, P.M. Sołtan
    Academic press:
    Journal of Algebra (rok: 2015, tom: 423, strony: 514–537), Wydawca: Elsevier
    Status:
    Published
  1. Quantum families of maps
    Authors:
    P.M. Sołtan
    Conference:
    Functional Analysis - 15th workshop for young mathematicians (rok: 2013, ), Wydawca: Uniwersytet Jagielloński
    Data:
    konferencja 8-14.07.2012
    Status:
    Published