Title

Some Topics in Leavitt Path Algebras and Their Generalizations.

Author (Researcher Name)

Mohan R. Dr., Indian Statistical InstituteFollow

Date of Submission

9-28-2020

Date of Award

9-28-2021

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Mathematics

Department

Theoretical Statistics and Mathematics Unit (TSMU-Bangalore)

Supervisor

Srikantan, Ramesh (TSMU-Bangalore; ISI)

Abstract (Summary of the Work)

The purpose of this section is to motivate the historical development of Leavitt algebras, Leavitt path algebras and their various generalizations and thus provide a context for this thesis. There are two historical threads which resulted in the definition of Leavitt path algebras. The first one is about the realization problem for von Neumann regular rings and the second one is about studying algebraic analogs of graph C ∗ -algebras. In what follows we briefly survey these threads and also introduce important concepts and terminology which will recur throughout.

Comments

ProQuest Collection ID: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:28843858

Control Number

ISILib-TH478

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

DOI

http://dspace.isical.ac.in:8080/jspui/handle/10263/2146

Recommended Citation

R., Mohan Dr., "Some Topics in Leavitt Path Algebras and Their Generalizations." (2021). Doctoral Theses. 438.
https://digitalcommons.isical.ac.in/doctoral-theses/438