Operator Theory, Complex Analysis and Applications Seminar 

07/10/2014, 14:00 — 15:00 — Room P4.35, Mathematics Building
Gwion Evans, Aberystwyth University

Characterising Higher-Rank Graph C*-Algebras

There is an elegant theory for graph C*-algebras that allows one to determine structural properties of the C*-algebra from the underlying directed graph. By coupling this with C*-algebra classification results one can characterise many graph C*-algebras as falling into various known classes of nuclear classifiable C*-algebras.  Whereas much of the structural theory carries over, the C*-algebras associated to higher-rank analogues of directed graphs are much less well-understood. I will recall the standard tools that are available to study higher-rank graph C*-algebras and discuss how recent developments in Elliot's classification programme could be used to help characterise higher-rank graph C*-algebras.