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# Operator Algebra and Noncommutative Geometry Seminar Series

## July 6, 2017 @ 3:30 pm - 4:30 pm

##### Speaker

Dr Adam Sierakowski (University of Wollongong)

##### Title

The semigroup of a higher rank graph

##### Abstract

In this talk about a certain semigroup one can associate to a k-graph. Roughly speaking it makes a vertex equivalent to all vertices one edge away. This semigroup does not ”see all”, but it is possible that both stable finiteness and pure infiniteness of a simple k-graph C*-algebra can be characterized via stable finiteness and pure infiniteness of this semigroup. This is join work with Pask and Sims.