DC Field | Value | Language |
---|---|---|
dc.contributor.author | Farah, Ilijas | en_US |
dc.contributor.author | Hirshberg, Ilan | en_US |
dc.contributor.author | Vignati, Alessandro | en_US |
dc.date.accessioned | 2021-06-25T08:13:47Z | - |
dc.date.available | 2021-06-25T08:13:47Z | - |
dc.date.issued | 2020-03-01 | - |
dc.identifier.issn | 0021-2172 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/4595 | - |
dc.description.abstract | We discuss the existence of (injectively) universal C*-algebras and prove that all C*-algebras of density character ℵ1 embed into the Calkin algebra, Q(H). Together with other results, this shows that each of the following assertions is relatively consistent with ZFC: (i) Q(H) is a 2ℵ0-universal C*-algebra. (ii) There exists a 2ℵ0-universal C*-algebra, but Q(H) is not 2ℵ0-universal, (iii) A 2ℵ0-universal C*-algebra does not exist. We also prove that it is relatively consistent with ZFC that (iv) there is no ℵ1-universal nuclear C*-algebra, and that (v) there is no ℵ1-universal simple nuclear C*-algebra. | en_US |
dc.publisher | Springer Link | en_US |
dc.relation.ispartof | Israel Journal of Mathematics | en_US |
dc.title | The Calkin algebra is ℵ1 -universal | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/s11856-020-2007-y | - |
dc.identifier.scopus | 2-s2.0-85084788474 | - |
dc.relation.firstpage | 287 | - |
dc.relation.lastpage | 309 | - |
dc.relation.volume | 237 | - |
dc.description.rank | M22 | - |
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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