Graph algebras and orbit equivalence

Nathan Brownlowe (Wollongong University)

Thursday 4th December, 2014 16:00-17:00 Maths 416


We review Matsumoto's notion of continuous orbit equivalence for one-sided topological Markov shifts. We then introduce orbit equivalence for directed graphs, and examine the conditions under which an orbit equivalence of graphs is equivalent to there being a diagonal-preserving isomorphism between graph C*-algebras. Along the way we will talk about some groupoids associated to graphs. This is joint work with Toke Meier Carlsen and Mike Whittaker.

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