K-Theoretic Duality for Hyperbolic Dynamical Systems
K-Theory and Homology
2017-09-25 v1 Dynamical Systems
Operator Algebras
Abstract
The K-theoretic analog of Spanier-Whitehead duality for noncommutative C*-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite type. Implications of this result as well as relations to the Baum-Connes conjecture and other topics are also considered.
Keywords
Cite
@article{arxiv.1009.4999,
title = {K-Theoretic Duality for Hyperbolic Dynamical Systems},
author = {Jerome Kaminker and Ian F. Putnam and Michael F. Whittaker},
journal= {arXiv preprint arXiv:1009.4999},
year = {2017}
}
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36 pages