Nuclear dimension and classification of C*-algebras associated to Smale spaces
Operator Algebras
2017-05-10 v3 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1601.02432,
title = {Nuclear dimension and classification of C*-algebras associated to Smale spaces},
author = {Robin J. Deeley and Karen R. Strung},
journal= {arXiv preprint arXiv:1601.02432},
year = {2017}
}
Comments
19 pages. Minor typos fixed, reference added. To appear in Trans. Amer. Math. Soc. Only changes in version 3 are to KS's grant information