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Operator Algebra and Noncommutative Geometry Seminar Series

September 28, 2017 @ 3:30 pm - 4:30 pm


Type semigroups for ample groupoids, and applications


Prof Aidan Sims (UOW)


A great deal of recent progress on the stably finite/purely infinite dichotomy for simple C*-algebras has been driven by Rordam and Sierakowski’s introduction of the type semigroup of an action of a group on a zero-dimensional space. I will discuss recent joint work with Tim Rainone that extends this notion to ample Hausdorff groupoids, so that the type semigroup of a transformation groupoid coincides with Rordam and Sierakowski’s type semigroup for the action. I’ll outline how the type semigroup is defined, how it can be extended to non-compact unit spaces, and how it can be computed for some key classes of examples.​


September 28, 2017
3:30 pm - 4:30 pm
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Building 39C Room 174
University of Wollongong
Wollongong, 2500
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