Matrix algebras converge to the sphere for quantum Gromov--Hausdorff distance

Simple item page
dc.creatorRieffel, Marc A.
dc.date2001-08-01
dc.date2002-12-12
dc.date.accessioned2026-07-07T04:42:49Z
dc.date.available2026-07-07T04:42:49Z
dc.descriptionOn looking at the literature associated with string theory one finds statements that a sequence of matrix algebras converges to the 2-sphere (or to other spaces). There is often careful bookkeeping with lengths, which suggests that one is dealing with ``quantum metric spaces''. We show how to make these ideas precise by means of Berezin quantization using coherent states. We work in the general setting of integral coadjoint orbits for compact Lie groups.
dc.description28 pages. various minor improvements.To appear Memoirs Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0108005
dc.identifierhttp://arxiv.org/abs/math/0108005
dc.identifierMem. Amer. Math. Soc. 168 (2004) no. 796, 67-91
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61948
dc.subjectOperator Algebras
dc.subjectHigh Energy Physics - Theory
dc.subjectMetric Geometry
dc.subjectRepresentation Theory
dc.subjectQuantum Physics
dc.subject46L87(primary), 53C23, 58B34, 81R30 (secondary)
dc.titleMatrix algebras converge to the sphere for quantum Gromov--Hausdorff distance
dc.typetext

Files

Collections

arXiv