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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Hopf-cyclic homology for non-unital algebras with applications to path algebras

2015/19/B/ST1/03098

Keywords:

cyclic homology path algebras Hopf algebras characteristic classes Chern character K-theory Ehresmann grupoid

Descriptors:

  • ST1_2: Algebra
  • ST1_9: Operator algebras and functional analysis
  • ST1_5: Geometry

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 Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Hajac 

Number of co-investigators in the project: 11

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 424 800 PLN

Project start date (Y-m-d): 2016-06-10

Project end date (Y-m-d): 2019-06-09

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

Project status: Project settled

Project description

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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 (6)
  1. Braided Hopf algebras from twisting
    Authors:
    Arkadiusz Bochniak, Andrzej Sitarz
    Academic press:
    Journal of Algebra and its Applications (rok: 2019, tom: 1950178, strony: 18), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219498819501780 - link to the publication
  2. Cyclic-homology Chern-Weil theory for families of principal coactions
    Authors:
    Piotr M. Hajac, Tomasz Maszczyk
    Academic press:
    Communications in Mathematical Physics (rok: 2021, tom: 381, strony: 707-734), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-020-03804-2 - link to the publication
  3. Non-surjective pullbacks of graph C*-algebras from non-injective pushouts of graphs
    Authors:
    Alexandru Chirvasitu, Piotr M. Hajac, Mariusz Tobolski
    Academic press:
    Bull. London Math. Soc. (rok: 2021, tom: 53, strony: 45306), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12389 - link to the publication
  4. Inertial Hopf-cyclic homology
    Authors:
    Tomasz Maszczyk, Serkan Sütlü
    Academic press:
    Journal of the London Mathematical Society , Wydawca: London Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. A graded pullback structure of Leavitt path algebras of trimmable graphs
    Authors:
    Piotr M. Hajac, Atabey Kaygun, Mariusz Tobolski
    Academic press:
    Banach Center Publications (rok: 2020, tom: 120, strony: 47-52), Wydawca: Institute of Mathematics, Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/bc120-4 - link to the publication
  6. Pullbacks of graph C*-algebras from admissible pushouts of graphs
    Authors:
    Piotr M. Hajac, Sarah Reznikoff, Mariusz Tobolski
    Academic press:
    Banach Center Publications (rok: 2020, tom: 120, strony: 169-178), Wydawca: Institute of Mathematics, Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/bc120-13 - link to the publication

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