dc.contributor.author | Clouâtre, Raphaël | |
dc.contributor.author | Marcoux, Laurent W. | |
dc.date.accessioned | 2020-04-02 17:47:49 (GMT) | |
dc.date.available | 2020-04-02 17:47:49 (GMT) | |
dc.date.issued | 2019 | |
dc.identifier.uri | https://doi.org/10.4064/sm170328-12-10 | |
dc.identifier.uri | http://hdl.handle.net/10012/15734 | |
dc.description | Version of record available at https://doi.org/10.4064/sm170328-12-10 | en |
dc.description.abstract | We examine rigidity phenomena for representations of amenable operator algebras which have an ideal of compact operators. We establish that a generalized version of Kadison’s conjecture on completely bounded homomorphisms holds for the algebra if the associated quotient is abelian. We also prove that injective completely bounded representations of the algebra are similar to complete isometries. The main motivating example for these investigations is the recent construction by Choi, Farah and Ozawa of an amenable operator algebra that is not similar to a C∗-algebra, and we show how it fits into our framework. All of our results hold in the presence of the total reduction property, a property weaker than amenability. | en |
dc.description.sponsorship | The first author was partially supported by an FQRNT postdoctoral fellowship and an NSERC Discovery Grant. The second author was partially supported by an NSERC Discovery Grant. | en |
dc.language.iso | en | en |
dc.publisher | Polish Academy of Sciences | en |
dc.subject | amenable operator algebras | en |
dc.title | Compact ideals and rigidity of representations for amenable operator algebras | en |
dc.type | Article | en |
dcterms.bibliographicCitation | Clouâtre, Raphaël, and Laurent W. Marcoux. “Compact Ideals and Rigidity of Representations for Amenable Operator Algebras.” Studia Mathematica 244 (2019): 25–41. https://doi.org/10.4064/sm170328-12-10. | en |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.contributor.affiliation2 | Pure Mathematics | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Reviewed | en |
uws.scholarLevel | Faculty | en |