Matches in SemOpenAlex for { <https://semopenalex.org/work/W2079735341> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2079735341 endingPage "381" @default.
- W2079735341 startingPage "367" @default.
- W2079735341 abstract "For any Lie groupoid $G$, the vector bundle $g^*$ dual to the associated Lie algebroid $g$ is canonically a Poisson manifold. The (reduced) C*-algebra of $G$ (as defined by A. Connes) is shown to be a strict quantization (in the sense of M. Rieffel) of $g^*$. This is proved using a generalization of Weyl's quantization prescription on flat space. Many other known strict quantizations are a special case of this procedure; on a Riemannian manifold, one recovers Connes' tangent groupoid as well as a recent generalization of Weyl's prescription. When $G$ is the gauge groupoid of a principal bundle one is led to the Weyl quantization of a particle moving in an external Yang-Mills field. In case that $G$ is a Lie group (with Lie algebra $g$) one recovers Rieffel's quantization of the Lie-Poisson structure on $g^*$. A transformation group C*-algebra defined by a smooth action of a Lie group on a manifold $Q$ turns out to be the quantization of the semidirect product Poisson manifold $g^*x Q$ defined by this action." @default.
- W2079735341 created "2016-06-24" @default.
- W2079735341 creator A5060266645 @default.
- W2079735341 date "1999-10-01" @default.
- W2079735341 modified "2023-09-26" @default.
- W2079735341 title "Lie Groupoid C * -Algebras and Weyl Quantization" @default.
- W2079735341 cites W1494852279 @default.
- W2079735341 cites W1518816257 @default.
- W2079735341 cites W1524590822 @default.
- W2079735341 cites W1533163381 @default.
- W2079735341 cites W1539551388 @default.
- W2079735341 cites W1553322733 @default.
- W2079735341 cites W1558312818 @default.
- W2079735341 cites W1567875216 @default.
- W2079735341 cites W1585629377 @default.
- W2079735341 cites W1606213083 @default.
- W2079735341 cites W1655172783 @default.
- W2079735341 cites W186825281 @default.
- W2079735341 cites W1970804019 @default.
- W2079735341 cites W1973293814 @default.
- W2079735341 cites W1976342154 @default.
- W2079735341 cites W1988724155 @default.
- W2079735341 cites W1996823813 @default.
- W2079735341 cites W2017837990 @default.
- W2079735341 cites W2034222396 @default.
- W2079735341 cites W2069728522 @default.
- W2079735341 cites W2086990318 @default.
- W2079735341 cites W2117472940 @default.
- W2079735341 cites W2598592305 @default.
- W2079735341 doi "https://doi.org/10.1007/s002200050709" @default.
- W2079735341 hasPublicationYear "1999" @default.
- W2079735341 type Work @default.
- W2079735341 sameAs 2079735341 @default.
- W2079735341 citedByCount "20" @default.
- W2079735341 countsByYear W20797353412016 @default.
- W2079735341 countsByYear W20797353412021 @default.
- W2079735341 countsByYear W20797353412022 @default.
- W2079735341 crossrefType "journal-article" @default.
- W2079735341 hasAuthorship W2079735341A5060266645 @default.
- W2079735341 hasBestOaLocation W20797353412 @default.
- W2079735341 hasConcept C136119220 @default.
- W2079735341 hasConcept C168619227 @default.
- W2079735341 hasConcept C187915474 @default.
- W2079735341 hasConcept C197375991 @default.
- W2079735341 hasConcept C202444582 @default.
- W2079735341 hasConcept C2776503324 @default.
- W2079735341 hasConcept C33923547 @default.
- W2079735341 hasConcept C51568863 @default.
- W2079735341 hasConceptScore W2079735341C136119220 @default.
- W2079735341 hasConceptScore W2079735341C168619227 @default.
- W2079735341 hasConceptScore W2079735341C187915474 @default.
- W2079735341 hasConceptScore W2079735341C197375991 @default.
- W2079735341 hasConceptScore W2079735341C202444582 @default.
- W2079735341 hasConceptScore W2079735341C2776503324 @default.
- W2079735341 hasConceptScore W2079735341C33923547 @default.
- W2079735341 hasConceptScore W2079735341C51568863 @default.
- W2079735341 hasIssue "2" @default.
- W2079735341 hasLocation W20797353411 @default.
- W2079735341 hasLocation W20797353412 @default.
- W2079735341 hasLocation W20797353413 @default.
- W2079735341 hasOpenAccess W2079735341 @default.
- W2079735341 hasPrimaryLocation W20797353411 @default.
- W2079735341 hasRelatedWork W1627845859 @default.
- W2079735341 hasRelatedWork W1995548053 @default.
- W2079735341 hasRelatedWork W2079735341 @default.
- W2079735341 hasRelatedWork W2093555958 @default.
- W2079735341 hasRelatedWork W2528032384 @default.
- W2079735341 hasRelatedWork W2790055418 @default.
- W2079735341 hasRelatedWork W2795544112 @default.
- W2079735341 hasRelatedWork W2962970100 @default.
- W2079735341 hasRelatedWork W2963005948 @default.
- W2079735341 hasRelatedWork W2963450278 @default.
- W2079735341 hasVolume "206" @default.
- W2079735341 isParatext "false" @default.
- W2079735341 isRetracted "false" @default.
- W2079735341 magId "2079735341" @default.
- W2079735341 workType "article" @default.