Matches in SemOpenAlex for { <https://semopenalex.org/work/W2005172247> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W2005172247 endingPage "232" @default.
- W2005172247 startingPage "223" @default.
- W2005172247 abstract "Abstract. We estimate the real rank of CCR C ∗ -algebras under some assumptions. Asapplications we determine the real rank of the reduced group C ∗ -algebras of non-compactconnected, semi-simple and reductive Lie groups and that of the group C ∗ -algebras ofconnected nilpotent Lie groups. 1. IntroductionThe real rank for C ∗ -algebras was introduced by Brown and Pedersen [3]. Bydefinition, we say that a unital C ∗ -algebra A has the real rank n = RR(A) if n isthe smallest non-negative integer such that for any e > 0 given, any self-adjointelement (a j ) n+1j=1 ∈ A n+1 with a j = a ∗j is approximated by a self-adjoint element(b j ) n+1j=1 ∈ A n with b j = b ∗j such that ka j − b j k < e (1 ≤ j ≤ n + 1) andP +1=1 b 2j is invertible in A. For a non-unital C ∗ -algebra, its real rank is defined by that ofits unitization by C. By definition, RR(A) ∈ {0,1,2,··· ,∞}.On the other hand, CCR C ∗ -algebras are very well known in the C -algebratheory such as the representation theory and structure theory of C" @default.
- W2005172247 created "2016-06-24" @default.
- W2005172247 creator A5019394609 @default.
- W2005172247 date "2008-06-30" @default.
- W2005172247 modified "2023-09-27" @default.
- W2005172247 title "The Real Rank of CCR C*-Algebra" @default.
- W2005172247 cites W132667770 @default.
- W2005172247 cites W1557857086 @default.
- W2005172247 cites W1565238249 @default.
- W2005172247 cites W1986878319 @default.
- W2005172247 cites W1995348166 @default.
- W2005172247 cites W2001798259 @default.
- W2005172247 cites W2013549024 @default.
- W2005172247 cites W2024531821 @default.
- W2005172247 cites W2037151869 @default.
- W2005172247 cites W2050159366 @default.
- W2005172247 cites W2061793416 @default.
- W2005172247 cites W2104197028 @default.
- W2005172247 cites W2119180036 @default.
- W2005172247 cites W2461823615 @default.
- W2005172247 cites W2467850800 @default.
- W2005172247 cites W560622644 @default.
- W2005172247 doi "https://doi.org/10.5666/kmj.2008.48.2.223" @default.
- W2005172247 hasPublicationYear "2008" @default.
- W2005172247 type Work @default.
- W2005172247 sameAs 2005172247 @default.
- W2005172247 citedByCount "0" @default.
- W2005172247 crossrefType "journal-article" @default.
- W2005172247 hasAuthorship W2005172247A5019394609 @default.
- W2005172247 hasBestOaLocation W20051722471 @default.
- W2005172247 hasConcept C114614502 @default.
- W2005172247 hasConcept C136119220 @default.
- W2005172247 hasConcept C164226766 @default.
- W2005172247 hasConcept C202444582 @default.
- W2005172247 hasConcept C33923547 @default.
- W2005172247 hasConceptScore W2005172247C114614502 @default.
- W2005172247 hasConceptScore W2005172247C136119220 @default.
- W2005172247 hasConceptScore W2005172247C164226766 @default.
- W2005172247 hasConceptScore W2005172247C202444582 @default.
- W2005172247 hasConceptScore W2005172247C33923547 @default.
- W2005172247 hasIssue "2" @default.
- W2005172247 hasLocation W20051722471 @default.
- W2005172247 hasOpenAccess W2005172247 @default.
- W2005172247 hasPrimaryLocation W20051722471 @default.
- W2005172247 hasRelatedWork W2087734572 @default.
- W2005172247 hasRelatedWork W2088849544 @default.
- W2005172247 hasRelatedWork W2327188743 @default.
- W2005172247 hasRelatedWork W2964175299 @default.
- W2005172247 hasRelatedWork W2991887548 @default.
- W2005172247 hasRelatedWork W3098790080 @default.
- W2005172247 hasRelatedWork W3100194145 @default.
- W2005172247 hasRelatedWork W3102408541 @default.
- W2005172247 hasRelatedWork W4230292203 @default.
- W2005172247 hasRelatedWork W4234996786 @default.
- W2005172247 hasVolume "48" @default.
- W2005172247 isParatext "false" @default.
- W2005172247 isRetracted "false" @default.
- W2005172247 magId "2005172247" @default.
- W2005172247 workType "article" @default.