Wieler has shown that a certain natural class of hyperbolic dynamical systems, namely the class of irreducible Smale spaces whose local stable sets are totally disconnected, arises from a solenoid construction. We consider -algebras associated to these Smale spaces, and use the stationary inverse limit structure of such a space to produce a stationary inductive limit structure for the -algebra. The -algebra in the inductive sequence is a Fell algebra with compact spectrum and trivial Dixmier-Douady invariant. We illustrate how our inductive limit can be used to compute the -theory of the Smale space -algebra. This is a joint work with Robin Deeley.
The Stable Algebra of a Wieler Solenoid: Inductive Limits and -Theory Sponsored by the Meyer Fund
Mar. 15, 2018 3pm (MATH 350)
Geometry/Analysis
Jeanne Clelland (University of Colorado, Boulder)
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This is a continuation of my talk from February 15. NOTE THE UNUSUAL TIME!
Isometric embedding via strongly symmetric positive systems, Part 2 Sponsored by the Meyer Fund