K-Theoretic Duality for Hyperbolic Dynamical Systems

Details K-Theoretic Duality for Hyperbolic Dynamical Systems K-Theoretic Duality for Hyperbolic Dynamical Systems

2010-09-25

arxiv.org/abs/1009.4999v1

Mathematics

K-Theory and Homology

36 pages

Scientific paper

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.

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