Friday, November 20, 2015 — 3:30 PM EST

Timothy Rainone, Department of Pure Mathematics, University of Waterloo

“Noncommutative Dynamics and Finiteness in C*-Crossed Products”

We discuss the interplay between K-theoretical dynamics and the structure theory for cer- tain C-algebras arising from crossed products. In the presence of sufficiently many projections we associate to each noncommutative C-system (A, G, α) a type semigroup S(A, G, α) which reflects much of the spirit of the underlying action. We characterize purely infinite as well as stably finite crossed products by means of the infinite or rather finite nature of this semigroup.

MC 5417

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