K-theoretic duality for hyperbolic dynamical systems

Authors

Jerome Kaminker, University of California, Davis
Ian F. Putnam, Victoria University
Michael F. Whittaker, University of WollongongFollow

RIS ID

116444

Publication Details

Kaminker, J., Putnam, I. & Whittaker, M. (2017). K-theoretic duality for hyperbolic dynamical systems. Journal fur die Reine und Angewandte Mathematik, 2017 (730), 263-299.

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.