Amenability, completely bounded projections, dynamical systems and smooth orbits

Details Amenability, completely bounded projections, dynamical systems and smooth orbits Amenability, completely bounded projections, dynamical systems and smooth orbits

2005-04-15

arxiv.org/abs/math/0504313v2

Mathematics

Operator Algebras

15 pages

Scientific paper

We describe a general method to construct completely bounded idempotent mappings on operator spaces, starting from amenable semigroups of completely bounded mappings. We then explore several applications of that method to injective operator spaces, fixed points of completely contractive mappings, Toeplitz operators, dynamical systems and similarity orbits of group representat ions.

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