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arxiv: math/0208087 · v1 · submitted 2002-08-11 · 🧮 math.OA

When are crossed products by minimal diffeomorphisms isomorphic?

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keywords crossedproductsminimaldiffeomorphismssmoothanalogcantordemonstrate
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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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