Partial actions, Leavitt path algebras and related topics

• Grant number: 15/07195-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Duration: August 15, 2015 - December 22, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Mikhailo Dokuchaev
• Grantee: Mikhailo Dokuchaev
• Visiting researcher: Pham Ngoc Anh
• Visiting researcher institution: Hungarian Academy of Sciences (HAS), Hungary
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

During the visit of Professor Pham Ngoc Ánh we pretend to develop a research project in the area of partial actions, Leavitt path algebras and related topics. In particular, we shall study the interaction between partial actions and Leavitt path algebras, and, possibly, other related algebras. Moreover, we shall investigate the automorphism groups of some algebras in the considered classes, as well as some questions with respect to the relation between algebraic and analytic properties which manifest themselves in the case of Leavitt path algebras and $C^*$-algebras of graphs. The Visiting Professor will participate the "First joint meeting Brazil-Spain in Mathematics'', which will be held in Fortaleza, from 7 to 10 of December of 2015, and the conference "Lie and Jordan algebras, their representations and applications-VI'', an event dedicated to the 60th birthday of Efim Zelmanov, and which will be held in Bento Gonçalves from 13 to 19 of December of 2015. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ANH, PHAM N.; BIRKENMEIER, GARY F.; VAN WYK, LEON. Peirce decompositions, idempotents and rings. Journal of Algebra, v. 564, p. 29-pg., 2020-12-15. (15/07195-7)