DC Field | Value | Language |
---|---|---|
dc.contributor.author | Coskey, Samuel | en |
dc.contributor.author | Farah, Ilijas | en |
dc.date.accessioned | 2020-04-27T10:33:39Z | - |
dc.date.available | 2020-04-27T10:33:39Z | - |
dc.date.issued | 2014-01-01 | en |
dc.identifier.issn | 0002-9947 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/770 | - |
dc.description.abstract | In 2007 Phillips and Weaver showed that, assuming the Continuum Hypothesis, there exists an outer automorphism of the Calkin algebra. (The Calkin algebra is the algebra of bounded operators on a separable complex Hilbert space, modulo the compact operators.) In this paper we establish that the analogous conclusion holds for a broad family of quotient algebras. Specifically, we will show that assuming the Continuum Hypothesis, if A is a separable algebra which is either simple or stable, then the corona of A has nontrivial automorphisms. We also discuss a connection with cohomology theory, namely, that our proof can be viewed as a computation of the cardinality of a particular derived inverse limit. | en |
dc.publisher | American Mathematical Society | - |
dc.relation.ispartof | Transactions of the American Mathematical Society | en |
dc.title | Automorphisms of corona algebras, and group cohomology | en |
dc.type | Article | en |
dc.identifier.doi | 10.1090/S0002-9947-2014-06146-1 | en |
dc.identifier.scopus | 2-s2.0-84924787468 | en |
dc.relation.firstpage | 3611 | en |
dc.relation.lastpage | 3630 | en |
dc.relation.issue | 7 | en |
dc.relation.volume | 366 | en |
dc.description.rank | M21 | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0001-7703-6931 | - |
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