Some examples of lifting problems from quotient algebras
Operator Algebras
2008-11-11 v1
Abstract
We consider three lifting questions: Given a -algebra , if there is a unital -algebra contains as an ideal, is every unitary from lifted to a unitary in ? is every unitary from lifted to an extremal partial isometry? is every extremal partial isometry from lifted to an extremal partial isometry? We show several constructions of which serve as working examples or counter-examples for above questions.
Keywords
Cite
@article{arxiv.0811.1395,
title = {Some examples of lifting problems from quotient algebras},
author = {Hyun Ho Lee},
journal= {arXiv preprint arXiv:0811.1395},
year = {2008}
}
Comments
9pages