English

When are crossed products by minimal diffeomorphisms isomorphic?

Operator Algebras 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0208087,
  title  = {When are crossed products by minimal diffeomorphisms isomorphic?},
  author = {N. Christopher Phillips},
  journal= {arXiv preprint arXiv:math/0208087},
  year   = {2007}
}

Comments

23 pages, AMSLaTeX. To appear in the proceedings of the Conference on Operator Algebras and Mathematical Physics, Constanta, Romania (2001)