Some examples of lifting problems from quotient algebras

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dc.creatorLee, Hyun Ho
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:17:10Z
dc.date.available2026-07-07T10:17:10Z
dc.descriptionWe 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.
dc.description9pages
dc.identifierhttps://arxiv.org/abs/0811.1395
dc.identifierhttp://arxiv.org/abs/0811.1395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173762
dc.subjectOperator Algebras
dc.subject46L05
dc.titleSome examples of lifting problems from quotient algebras
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