|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
|01/06/2020 - 31/12/2022
|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:
- 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):