277 research outputs found
K-Theoretic Duality for Hyperbolic Dynamical Systems
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.Comment: 36 page
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