Self-similar graph C∗-algebras

This major paper is focused on studying self-similar graph C∗-algebras. After some preliminary background, we define self-similar graphs and provide some properties. We then investigate self-similar graph C∗-algebras, and discuss some important named examples, Nekrashevych’s and Katsura’s algebras. Finally, we present a inverse semigroup associated to a self-similar graph and build to a condition for it to be E∗-unitary.

Grantor dc:publisher

University of Windsor

Year dc:date.issued

2026

Author dc:creator

• Chan, Ethan

Advisor dc:contributor.advisor

• Yang, Dilian

Statement dc:rights

• Creative Commons 4.0 International; free to share and adapt, requires attribution. Author retains copyright. https://creativecommons.org/licenses/by/4.0/

Language dc:language.iso

English (Canada)

Handle dc:identifier.uri

https://hdl.handle.net/20.500.14776/24681

OAI record oai:identifier

https://uwindsor.scholaris.ca/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Auwindsor.scholaris.ca%3A20.500.14776%2F24681