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Amenability, completely bounded projections, dynamical systems and smooth orbits

Daniel Beltiţă·Bebe Prunaru
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Abstract

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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Daniel Beltiţă, Bebe Prunaru. 2005-04-20. Amenability, completely bounded projections, dynamical systems and smooth orbits. https://arxiv.org/abs/math/0504313

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