Graph Algebras Seminars

Monday, March 9, 2015 1:30 pm - 1:30 pm EDT (GMT -04:00)

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

“Semisimple algebras and acyclic graphs”

Last time we constructed the universal graph C algebraO(E) for a row-finite, countable directed graph E, which turned out to be generated by a Cuntz–Krieger E-family. Our next goal is to discuss when O(E) is semisimple, in the case E is finite; for C*-algebras, this means O(E) is finite-dimensional. The structure of O(E) in this situation is uniquely determined by the sources in E. See you there.