On the lack of inverses to C*-extensions related to property T groups

dc.creatorManuilov, V.
dc.creatorThomsen, K.
dc.date2005-01-24
dc.date.accessioned2026-07-07T05:16:20Z
dc.date.available2026-07-07T05:16:20Z
dc.descriptionUsing ideas of S. Wassermann on non-exact $C^*$-algebras and property T groups, we show that one of his examples of non-invertible C*-extensions is not semi-invertible. To prove this, we show that a certain element vanishes in the asymptotic tensor product. We also show that a modification of the example gives a C*-extension which is not even invertible up to homotopy.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0501412
dc.identifierhttp://arxiv.org/abs/math/0501412
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73949
dc.subjectOperator Algebras
dc.subject46L05
dc.titleOn the lack of inverses to C*-extensions related to property T groups
dc.typetext

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