Noncommutative Geometry Seminar
Date: May 13, 2020
Time: 2:00PM - 3:00PM
Location: Zoom 942810031
Speaker: Robin Deeley, University of Colorado, Boulder
Title: The K-theory of the stable algebra and stable Ruelle algebra of a Wieler solenoid
Abstract: Wieler has shown that every irreducible Smale space with totally disconnected stable sets is a solenoid (i.e., obtained via a stationary inverse limit construction). Through examples I will discuss how this allows one to compute the K-theory of the stable algebra, S, and the stable Ruelle algebra, S\rtimes Z. These computations involve writing S as a stationary inductive limit and S\rtimes Z as a Cuntz-Pimsner algebra. These constructions reemphasize the view point that Smale space C*-algebras are higher dimensional generalizations of Cuntz-Krieger algebras. As I mentioned the talk will be example based and hence no knowledge of Smale spaces or Wieler solenoids is required. The main results are joint work with Magnus Goffeng and Allan Yashinski.
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