Matches in SemOpenAlex for { <https://semopenalex.org/work/W4321149156> ?p ?o ?g. }
Showing items 1 to 51 of
51
with 100 items per page.
- W4321149156 abstract "Let E be a second-countable, locally compact, Hausdorff groupoid equipped with an action of T such that G:=E/T is a principal groupoid with Haar system lambda. The twisted groupoid C*-algebra C*(E;G,lambda) is a quotient of the C*-algebra of E obtained by completing the space of T-equivariant functions on E. We show that C*(E;G,lambda) is postliminal if and only if the orbit space of G is T_0 and that C*(E;G, lambda) is liminal if and only if the orbit space is T_1. We also show that C*(E;G, lambda) has bounded trace if and only if G is integrable and that C*(E;G, lambda) is a Fell algebra if and only if G is Cartan. Let G be a second-countable, locally compact, Hausdorff groupoid with Haar system lambda and continuously varying, abelian isotropy groups. Let A be the isotropy groupoid and R := G/A. Using the results about twisted groupoid C*-algebras, we show that the C*-algebra C*(G, lambda) has bounded trace if and only if R is integrable and that C*(G, lambda) is a Fell algebra if and only if R is Cartan. We illustrate our theorems with examples of groupoids associated to directed graphs." @default.
- W4321149156 created "2023-02-18" @default.
- W4321149156 creator A5017707311 @default.
- W4321149156 creator A5090916445 @default.
- W4321149156 date "2010-07-14" @default.
- W4321149156 modified "2023-09-29" @default.
- W4321149156 title "The representation theory of C*-algebras associated to groupoids" @default.
- W4321149156 doi "https://doi.org/10.48550/arxiv.1007.2331" @default.
- W4321149156 hasPublicationYear "2010" @default.
- W4321149156 type Work @default.
- W4321149156 citedByCount "0" @default.
- W4321149156 crossrefType "posted-content" @default.
- W4321149156 hasAuthorship W4321149156A5017707311 @default.
- W4321149156 hasAuthorship W4321149156A5090916445 @default.
- W4321149156 hasBestOaLocation W43211491561 @default.
- W4321149156 hasConcept C114614502 @default.
- W4321149156 hasConcept C134306372 @default.
- W4321149156 hasConcept C136119220 @default.
- W4321149156 hasConcept C136170076 @default.
- W4321149156 hasConcept C191399826 @default.
- W4321149156 hasConcept C199422724 @default.
- W4321149156 hasConcept C202444582 @default.
- W4321149156 hasConcept C31498916 @default.
- W4321149156 hasConcept C33923547 @default.
- W4321149156 hasConcept C34388435 @default.
- W4321149156 hasConceptScore W4321149156C114614502 @default.
- W4321149156 hasConceptScore W4321149156C134306372 @default.
- W4321149156 hasConceptScore W4321149156C136119220 @default.
- W4321149156 hasConceptScore W4321149156C136170076 @default.
- W4321149156 hasConceptScore W4321149156C191399826 @default.
- W4321149156 hasConceptScore W4321149156C199422724 @default.
- W4321149156 hasConceptScore W4321149156C202444582 @default.
- W4321149156 hasConceptScore W4321149156C31498916 @default.
- W4321149156 hasConceptScore W4321149156C33923547 @default.
- W4321149156 hasConceptScore W4321149156C34388435 @default.
- W4321149156 hasLocation W43211491561 @default.
- W4321149156 hasOpenAccess W4321149156 @default.
- W4321149156 hasPrimaryLocation W43211491561 @default.
- W4321149156 hasRelatedWork W1564635168 @default.
- W4321149156 hasRelatedWork W1678370088 @default.
- W4321149156 hasRelatedWork W2046308140 @default.
- W4321149156 hasRelatedWork W2082128351 @default.
- W4321149156 hasRelatedWork W2086126634 @default.
- W4321149156 hasRelatedWork W2119469104 @default.
- W4321149156 hasRelatedWork W2768034190 @default.
- W4321149156 hasRelatedWork W2963656016 @default.
- W4321149156 hasRelatedWork W3106262532 @default.
- W4321149156 hasRelatedWork W3185865948 @default.
- W4321149156 isParatext "false" @default.
- W4321149156 isRetracted "false" @default.
- W4321149156 workType "article" @default.