Applications of graph and higher-rank graph algebras in noncommutative geometry
2021/41/B/ST1/03387
Keywords
- noncommutative topology and geometry
- K-theory and index theory
- Dirac operators and spectral triples
- pullbacks of algebras
- Cuntz-Pimsner algebras
- graph and higher-rank graph C*-algebras
- Leavitt path algebras and Kumjian-Pask algebras of higher-rank graphs
- pushouts of directed graphs and higher-rank graphs
Descriptors
- ST1_009: Algebry operatorowe i analiza funkcjonalna
- ST1_002: Algebra
- ST1_005: 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
Principal investigator (from the host institution)
Number of co-investigators in the project: 5
Call
OPUS 21 – announced on 2021-03-15
- Amount awarded
- 547 200 PLN
- Project start date
- 2022-02-07
- Project end date
- 2027-02-06
- Project duration
- 60 months (the same as in the proposal)
- Project status
- Pending project
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 (1)
-
The covariant functoriality of graph algebras
- Authors:
- Piotr M. Hajac, Mariusz Tobolski
- Academic press:
- Bulletin of the London Mathematical Society (year: 2024, volume: 56, pages: 46042), Publisher: Wiley
- Status:
- Published