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The Local Product Structure of Expansive Automorphisms of Solenoids and Their Associated C*-Algebras

Published online by Cambridge University Press:  20 November 2018

Berndt Brenken
Berndt Brenken*
Affiliation:
Department of Mathematics and Statistics The University of Calgary 2500 University Drive NW Calgary, Alberta T2N1N4
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Abstract

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An explicit description of a hyperbolic canonical coordinate system for an expansive automorphism of a compact connected abelian group is given. These dynamical systems are factors of subshifts of finite type. Some properties of the associated crossed product C*-algebra are discussed. In these examples, the C* -algebras of Ruelle are crossed product algebras.

Keywords

22D4022D4546LXX54H2028D20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 4 , 01 August 1996 , pp. 692 - 709
Copyright
Copyright © Canadian Mathematical Society 1996

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