Quantization and the tangent groupoid

Simple item page
dc.creatorLandsman, N. P.
dc.date2002-08-02
dc.date2002-10-16
dc.date.accessioned2026-07-07T04:29:20Z
dc.date.available2026-07-07T04:29:20Z
dc.descriptionThis is a survey of the relationship between C*-algebraic deformation quantization and the tangent groupoid in noncommutative geometry, emphasizing the role of index theory. We first explain how C*-algebraic versions of deformation quantization are related to the bivariant E-theory of Connes and Higson. With this background, we review how Weyl--Moyal quantization may be described using the tangent groupoid. Subsequently, we explain how the Baum--Connes analytic assembly map in E-theory may be seen as an equivariant version of Weyl--Moyal quantization. Finally, we expose Connes's tangent groupoid proof of the Atiyah--Singer index theorem
dc.description16 pages, Proc. Constanta 2001
dc.identifierhttps://arxiv.org/abs/math-ph/0208004
dc.identifierhttp://arxiv.org/abs/math-ph/0208004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57117
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subject46L65; 19K65
dc.titleQuantization and the tangent groupoid
dc.typetext

Files

Collections

arXiv