|Project's title||Investigation of Leavitt path algebras partially by methods from commutative algebras and groups|
|Research hosting institution||Institute of Mathematics|
|Project leader’s name||Tran Giang Nam|
|Project duration||01/06/2020 - 31/12/2022|
|Project’s budget||200 million VND|
|Goal and objectives of the project|| |
The main goal is to study some open questions of Leavitt path algebras and graph C*-algebras, by methods from commutative algebras and groups. The main problems to be considered are:
|Main results|| |
- Theorerical results: For Problem 1, we give a survey about the classification of Leavitt path algebras and C*-algebras via K-theory and KK-theory.
|Novelty and actuality and scientific meaningfulness of the results|| |
We give many ways to construct irreducible representions of Leavitt path algebras associted with vertices via Cohn Leavitt path algebras, and give a universal method to construct irreducible representions of Leavitt path algebras associted pairs (c, f) consisting of simple closed paths c together with irreducible polynomials f. In particular, we give a new method to construct irreducible representions of Leavitt path algebras via their diagonal subalgebras.
|Products of the project|| |
- Scientific papers in referred journals (list):