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When are crossed products by minimal diffeomorphisms isomorphic?

N. Christopher Phillips
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Abstract

This is a survey which discusses the isomorphism problem for both C* and smooth crossed products by minimal diffeomorphisms. For C* crossed products, examples demonstrate the failure of the obvious analog of the Giordano-Putnam-Skau Theorem on minimal homeomorphisms of the Cantor set. For smooth crossed products, there are many open problems.

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N. Christopher Phillips. 2002-08-11. When are crossed products by minimal diffeomorphisms isomorphic?. https://arxiv.org/abs/math/0208087

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