When are crossed products by minimal diffeomorphisms isomorphic?

Details When are crossed products by minimal diffeomorphisms isomorphic? When are crossed products by minimal diffeomorphisms isomorphic?

2002-08-11

arxiv.org/abs/math/0208087v1

Mathematics

Operator Algebras

23 pages, AMSLaTeX. To appear in the proceedings of the Conference on Operator Algebras and Mathematical Physics, Constanta, R

Scientific paper

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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