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

2015/19/B/ST1/03098

Keywords

Descriptors

ST1_2: Algebra
ST1_9: Algebry operatorowe i analiza funkcjonalna
ST1_5: Geometria

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

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Piotr Mieczysław 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: 2016-06-10
Project end date: 2019-06-09
Project duration: 36 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 (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 (year: 2020, volume: 120, pages: 47-52), Publisher: Institute of Mathematics, Polish Academy of Sciences

Status:
Published

DOI:
10.4064/bc120-4 – link to the publication
Cyclic-homology Chern-Weil theory for families of principal coactions

Authors:
Piotr M. Hajac, Tomasz Maszczyk

Academic press:
Communications in Mathematical Physics (year: 2021, volume: 381, pages: 707-734), Publisher: Springer

Status:
Published

DOI:
10.1007/s00220-020-03804-2 – link to the publication
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. (year: 2021, volume: 53, pages: 46037), Publisher: London Mathematical Society

Status:
Published

DOI:
10.1112/blms.12389 – link to the publication
Pullbacks of graph C*-algebras from admissible pushouts of graphs

Authors:
Piotr M. Hajac, Sarah Reznikoff, Mariusz Tobolski

Academic press:
Banach Center Publications (year: 2020, volume: 120, pages: 169-178), Publisher: Institute of Mathematics, Polish Academy of Sciences

Status:
Published

DOI:
10.4064/bc120-13 – link to the publication
Braided Hopf algebras from twisting

Authors:
Arkadiusz Bochniak, Andrzej Sitarz

Academic press:
Journal of Algebra and its Applications (year: 2019, volume: 1950178, pages: 18), Publisher: World Scientific

Status:
Published

DOI:
10.1142/S0219498819501780 – link to the publication

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