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C*-algebras of homoclinic and heteroclinic structure in expansive dynamics

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  • Institut for Matematiske Fag
We unify various constructions of C*-algebras from dynamical systems, specifically, the dimension group construction of Krieger for shift spaces, the corresponding constructions of Wagoner and Boyle, Fiebig and Fiebig for countable state Markov shifts and one-sided shift spaces, respectively, and the constructions of Ruelle and Putnam for Smale spaces. The general setup is used to analyze the structure of the C*-algebras arising from the homoclinic and heteroclinic equivalence relations in expansive dynamical systems; in particular expansive group endomorphisms and automorphisms, and generalized 1-solenoids. For these dynamical systems it is shown that the C*-algebras are inductive limits of homogeneous or sub-homogeneous algebras with one-dimensional spectra.
OriginalsprogEngelsk
BogserieMemoirs of the American Mathematical Society
Vol/bind206
Nummer970
Sider (fra-til)1-122
Antal sider122
ISSN0065-9266
DOI
StatusUdgivet - 2010

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