For further information, to suggest a seminar speaker, or to
subscribe to the Analysis Seminar mailing list, please contact
the webmaster.
Jon Brown
Kansas State University
A generalized Cuntz-Krieger uniqueness theorem for k-graph algebras
Friday, March 28 1PM, 646 PGH
Abstract
In this talk, we present a uniqueness theorem for k-graph C*-algebras that requires neither an aperiodicity
nor a gauge invariance assumption. Specifically, we prove that for the injectivity of a representation of a k-graph
C*-algebra, it is sufficient that the representation be injective on a distinguished abelian C*-subalgebra. A crucial part
of the proof is the application of an abstract uniqueness theorem, which says that such a uniqueness property follows from
the existence of a jointly faithful collection of states on the ambient C*-algebra, each of which is the unique extension
of a state on the distinguished abelian C*-subalgebra. This work is joint with Gabriel Nagy and Sarah Reznikoff.
Webmaster University of Houston
---
Last modified: April 08 2016 - 07:21:37