Pointwise approximation by elementary complete contractions
Operator Algebras
2009-02-03 v1 Functional Analysis
Abstract
A complete contraction on a C*-algebra A, which preserves all closed two sided ideals J, can be approximated pointwise by elementary complete contractions if and only if the induced map on the tensor product of B with A/J is contractive for every C*-algebra B, ideal J in A and C*-tensor norm on the tensor product. A lifting obstruction for such an approximation is also obtained.
Cite
@article{arxiv.0902.0277,
title = {Pointwise approximation by elementary complete contractions},
author = {Bojan Magajna},
journal= {arXiv preprint arXiv:0902.0277},
year = {2009}
}
Comments
11 pages, to appear in PAMS