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CROSSED-PRODUCTS OF TOTALLY DISCONNECTED SPACES BY $\mathbb{Z}_2*\mathbb{Z}_2$
Bibliographic Information
- Other Title
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- Crossed products of totally disconnected spaces by
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Description
<jats:title>Abstract</jats:title><jats:p>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<jats:sup>−1</jats:sup>, and assume that σ or ασ has a fixed point. We prove (Theorem 3.5) that the crossed product<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" mimetype="image" xlink:type="simple" xlink:href="S0143385700007483_inline2"/>is an AF-algebra.</jats:p>
Journal
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- ERGODIC THEORY AND DYNAMICAL SYSTEMS
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ERGODIC THEORY AND DYNAMICAL SYSTEMS 13 445-484, 1993
Cambridge University Press