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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Noncommutative dynamics and Cartan C*-subalgebras: their generalizations, properties and applications

2019/35/B/ST1/02684

Keywords:

C*-algebra Fell bundle groupoid inverse semigroup product system C*-correspondence Cartan C*-subalgebra Lp-operator algebra spectrum weighted composition operator transfer operator

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 w Białymstoku, Wydział Matematyki

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Bartosz Kosma Kwaśniewski 

Number of co-investigators in the project: 2

Call: OPUS 18 - announced on 2019-09-16

Amount awarded: 221 580 PLN

Project start date (Y-m-d): 2020-06-25

Project end date (Y-m-d): 2024-06-24

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (27)
  • Articles in post-conference publications (1)
  1. Spectrum of weighted isometries: C*-algebras, transfer operators and topological pressure
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski
    Academic press:
    Israel J. Math. (rok: 2021, tom: 246, strony: 149 - 210), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-021-2246-6 - link to the publication
  2. Spectrum of weighted isometries: C*-algebras, transfer operators and topological pressure
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski
    Academic press:
    Israel J. Math. (rok: 2021, tom: 246, strony: 149 - 210), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-021-2246-6 - link to the publication
  3. Ideal structure and pure infiniteness of inverse semigroup crossed products
    Authors:
    B. K. Kwaśniewski, R. Meyer
    Academic press:
    Journal of Noncommutative Geometry
    Status:
    Accepted for publication
  4. Aperiodicity: the almost extension property and uniqueness of pseudo-expectations
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    IMRN
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnab098 - link to the publication
  5. The Haagerup property for twisted groupoid dynamical systems
    Authors:
    Bartosz Kwaśniewski, Kang Li, Adam Skalski
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283, strony: 109484)
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109484 - link to the publication
  6. Banach algebras associated to twisted etale groupoids: inverse semigroup disintegration and representations on Lp-spaces
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski, Andrew McKee
    Academic press:
    Advances in Mathematics (rok: 2024, ), Wydawca: Elsevier
    Status:
    Submitted
  7. The Haagerup property for twisted groupoid dynamical systems
    Authors:
    Bartosz Kwaśniewski, Kang Li, Adam Skalski
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283, strony: 109484)
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109484 - link to the publication
  8. Aperiodicity: the almost extension property and uniqueness of pseudo-expectations
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    IMRN (rok: 2022, tom: 18, strony: 14384–14426), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnab098 - link to the publication
  9. Banach algebras associated to twisted etale groupoids: simplicity and pure infiniteness
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski, Andrew McKee
    Academic press:
    Analysis & PDE (rok: 2026, tom: Not assigned yet, strony: Not assigned yet), Wydawca: Mathematical Sciences Publishers
    Status:
    Submitted
  10. Ideal structure and pure infiniteness of inverse semigroup crossed products
    Authors:
    B. K. Kwaśniewski, R. Meyer
    Academic press:
    Journal of Noncommutative Geometry (rok: 2023, tom: 17, strony: 999-1043), Wydawca: EMS Press
    Status:
    Published
    DOI:
    10.4171/JNCG/506 - link to the publication
  11. Ideal structure and pure infiniteness of inverse semigroup crossed products
    Authors:
    B. K. Kwaśniewski, R. Meyer
    Academic press:
    Journal of Noncommutative Geometry (rok: 2023, tom: 17, strony: 999-1043), Wydawca: EMS Press
    Status:
    Published
    DOI:
    10.4171/JNCG/506 - link to the publication
  12. The Haagerup property for twisted groupoid dynamical systems
    Authors:
    Bartosz Kwaśniewski, Kang Li, Adam Skalski
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283, strony: 109484)
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109484 - link to the publication
  13. Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    Doc. Math. (rok: 2021, tom: 26, strony: 271-335)
    Status:
    Published
    DOI:
    10.25537/dm.2021v26.271-335 - link to the publication
  14. Spectrum of weighted isometries: C*-algebras, transfer operators and topological pressure
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski
    Academic press:
    Israel J. Math. (rok: 2021, tom: 246, strony: 149 - 210), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-021-2246-6 - link to the publication
  15. Topologically free actions and ideals in twisted Banach algebra crossed products
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski
    Academic press:
    Proceedings of the Royal Society of Edinburgh (rok: 2024, tom: Not assigned yet, strony: Not assigned yet), Wydawca: Cambridge University Press
    Status:
    Accepted for publication
    DOI:
    10.1017/prm.2024.37 - link to the publication
  16. C*-algebras associated to transfer operators for countable-to-one maps
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski, Andrei Lebedev
    Academic press:
    Integral Equations and Operator Theory (rok: 2024, tom: 96, strony: 16438), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00020-024-02774-7 - link to the publication
  17. Banach algebras associated to twisted etale groupoids: inverse semigroup disintegration and representations on Lp-spaces
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski, Andrew McKee
    Academic press:
    Journal of Functional Analysis (rok: 2025, tom: Not assigned yet, strony: Not assigned yet), Wydawca: American Mathematical Society
    Status:
    Submitted
  18. Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    Doc. Math. (rok: 2021, tom: 26, strony: 271-335)
    Status:
    Published
    DOI:
    10.25537/dm.2021v26.271-335 - link to the publication
  19. Aperiodicity: the almost extension property and uniqueness of pseudo-expectations
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    IMRN (rok: 2022, tom: 18, strony: 14384–14426), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnab098 - link to the publication
  20. Ideal structure and pure infiniteness of inverse semigroup crossed products
    Authors:
    B. K. Kwaśniewski, R. Meyer
    Academic press:
    Journal of Noncommutative Geometry
    Status:
    Accepted for publication
  21. Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    Doc. Math. (rok: 2021, tom: 26, strony: 271-335)
    Status:
    Published
    DOI:
    10.25537/dm.2021v26.271-335 - link to the publication
  22. Fourier–Stieltjes category for twisted groupoid actions
    Authors:
    Alcides Buss, Bartosz Kwaśniewski, Andrew McKee, Adam Skalski
    Academic press:
    Annali della Scuola Normale Superiore di Pisa (rok: 2026, tom: Not assigned yet, strony: Not assigned yet), Wydawca: Scuola Normale Superiore
    Status:
    Submitted
  23. Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    Doc. Math. (rok: 2021, tom: 26, strony: 271-335)
    Status:
    Published
    DOI:
    10.25537/dm.2021v26.271-335 - link to the publication
  24. Aperiodicity: the almost extension property and uniqueness of pseudo-expectations
    Authors:
    Bartosz Kwaśniewski, Ralf Meyer
    Academic press:
    IMRN (rok: 2022, tom: 18, strony: 14384–14426), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnab098 - link to the publication
  25. Banach algebras associated to twisted etale groupoids: inverse semigroup disintegration and representations on Lp-spaces
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski, Andrew McKee
    Academic press:
    Advances in Mathematics (rok: 2024, ), Wydawca: Elsevier
    Status:
    Submitted
  26. Spectrum of weighted isometries: C*-algebras, transfer operators and topological pressure
    Authors:
    Krzysztof Bardadyn, Bartosz Kwaśniewski
    Academic press:
    Israel J. Math. (rok: 2021, tom: 246, strony: 149 - 210), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-021-2246-6 - link to the publication
  27. The Haagerup property for twisted groupoid dynamical systems
    Authors:
    Bartosz Kwaśniewski, Kang Li, Adam Skalski
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283, strony: 109484)
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109484 - link to the publication
  1. Lp -Cuntz algebras and spectrum of weighted composition operators
    Authors:
    Krzysztof Bardadyn
    Conference:
    Geometric Methods in Physics XL, Trends in Mathemarics (rok: 2024, tom: XL Workshop on Geometric Methods in Physics, strony: 189–198), Wydawca: Birkhauser Verlag
    Data:
    konferencja 2-8.07.2023
    Status:
    Published
    DOI:
    10.1007/978-3-031-62407-0_14 - link to the publication

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