Spectral triples for hyperbolic dynamical systems

Details Spectral triples for hyperbolic dynamical systems Spectral triples for hyperbolic dynamical systems

2010-11-15

arxiv.org/abs/1011.3292v1

Mathematics

Operator Algebras

Scientific paper

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 topological entropy of the Smale
space.

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