Some examples of lifting problems from quotient algebras

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We consider three lifting questions: Given a $C\sp{*}$-algebra $I$, if there is a unital $C\sp{*}$-algebra $A$ contains $I$ as an ideal, is every unitary from $A/I$ lifted to a unitary in $A$? is every unitary from $A/I$ lifted to an extremal partial isometry? is every extremal partial isometry from $A/I$ lifted to an extremal partial isometry? We show several constructions of $I$ which serve as working examples or counter-examples for above questions.
9pages

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Operator Algebras, 46L05

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http://salesiana.dossiersoluciones.com/handle/123456789/173762

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.1395
 http://arxiv.org/abs/0811.1395

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arXiv