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Crossed products of totally disconnected spaces by

Published online by Cambridge University Press:  19 September 2008

Ola Bratteli ,
David E. Evans  and
Akitaka Kishimoto
Ola Bratteli
Affiliation:
Institute of Mathematics, University of Trondheim, N-7034 Trondheim-NTH, Norway
David E. Evans
Affiliation:
Department of Mathematics and Computer Science, University College of Swansea, Swansea SA2 8PP, Wales, UK
Akitaka Kishimoto
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo, 060, Japan
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Abstract

Let Ω be a totally disconnected compact metrizable space, and let α be a minimal homeomorphism of Ω. Let σ be a homeomorphism of order 2 on Ω such that ασ = σα−1, and assume that σ or ασ has a fixed point. We prove (Theorem 3.5) that the crossed product is an AF-algebra.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 3 , September 1993 , pp. 445 - 484
Copyright
Copyright © Cambridge University Press 1993

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