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K-theoretic duality for hyperbolic dynamical systems

  • Jerome Kaminker EMAIL logo , Ian F. Putnam and Michael F. Whittaker

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.

Funding statement: Research of Ian F. Putnam supported in part by an NSERC Discovery Grant.

Acknowledgements

The authors are very grateful to the referee for a very thorough reading of the paper and numerous helpful suggestions.

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Received: 2014-3-14
Revised: 2014-10-10
Published Online: 2015-2-5
Published in Print: 2017-9-1

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