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arXiv:1601.02432 [math.OA]AbstractReferencesReviewsResources

Nuclear dimension and classification of C*-algebras associated to Smale spaces

Robin J. Deeley, Karen R. Strung

Published 2016-01-11Version 1

We show that the homoclinic C*-algebras of mixing Smale spaces are classifiable by the Elliott invariant. To obtain this result, we prove that the stable, unstable, and homoclinic C*-algebras associated to such Smale spaces have finite nuclear dimension. Our proof of finite nuclear dimension relies on Guentner, Willett, and Yu's notion of dynamic asymptotic dimension.

Comments: 19 pages
Categories: math.OA, math.DS
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