Amenability, completely bounded projections, dynamical systems and smooth orbits
Operator Algebras
2007-05-23 v2 Differential Geometry
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.
Cite
@article{arxiv.math/0504313,
title = {Amenability, completely bounded projections, dynamical systems and smooth orbits},
author = {Daniel Beltiţă and Bebe Prunaru},
journal= {arXiv preprint arXiv:math/0504313},
year = {2007}
}
Comments
15 pages