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dc.contributor.authorFarah, Ilijasen
dc.contributor.authorHart, Bradden
dc.contributor.authorRørdam, Mikaelen
dc.contributor.authorTikuisis, Aaronen
dc.date.accessioned2020-04-27T10:33:37Z-
dc.date.available2020-04-27T10:33:37Z-
dc.date.issued2017-01-01en
dc.identifier.issn1022-1824en
dc.description.abstractThe relative commutant A′∩ AU of a strongly self-absorbing algebra A is indistinguishable from its ultrapower AU. This applies both to the case when A is the hyperfinite II1 factor and to the case when it is a strongly self-absorbing C ∗-algebra. In the latter case, we prove analogous results for ℓ∞(A) / c0(A) and reduced powers corresponding to other filters on N. Examples of algebras with approximately inner flip and approximately inner half-flip are provided, showing the optimality of our results. We also prove that strongly self-absorbing algebras are smoothly classifiable, unlike the algebras with approximately inner half-flip.en
dc.publisherSpringer Link-
dc.relation.ispartofSelecta Mathematica, New Seriesen
dc.subjectApproximately inner half-flip | Central sequence algebra | Continuous model theory | Relative commutant | Strongly self-absorbing C -algebra ∗en
dc.titleRelative commutants of strongly self-absorbing C*-algebrasen
dc.typeArticleen
dc.identifier.doi10.1007/s00029-016-0237-yen
dc.identifier.scopus2-s2.0-84964661147en
dc.relation.firstpage363en
dc.relation.lastpage387en
dc.relation.issue1en
dc.relation.volume23en
dc.description.rankM21-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
crisitem.author.orcid0000-0001-7703-6931-
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