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Texas A&M University
Mathematics

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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