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Spectral triples for hyperbolic dynamical systems
Spectral triples hyperbolic dynamical systems
2010/11/19
Spectral triples are defined for C*-algebras associated with hyperbolic dynamical systems known as Smale spaces. The spectral dimension of one of these spectral triples is shown to recover the topolog...
K-Theoretic Duality for Hyperbolic Dynamical Systems
K-Theoretic Duality Hyperbolic Dynamical Systems
2010/12/13
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 ...