Quantum Isometry Groups of 0- Dimensional Manifolds

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dc.creatorBhowmick, Jyotishman
dc.creatorGoswami, Debashish
dc.creatorSkalski, Adam
dc.date2008-07-27
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:35:22Z
dc.date.available2026-07-07T12:35:22Z
dc.descriptionQuantum isometry groups of spectral triples associated with approximately finite-dimensional C*-algebras are shown to arise as inductive limits of quantum symmetry groups of corresponding truncated Bratteli diagrams. This is used to determine explicitly the quantum isometry group of the natural spectral triple on the algebra of continuous functions on the middlethird Cantor set. It is also shown that the quantum symmetry groups of finite graphs or metric spaces coincide with the quantum isometry groups of the corresponding classical objects equipped with natural Laplacians.
dc.descriptiontypos corrected, To appear in Trans.AMS
dc.identifierhttps://arxiv.org/abs/0807.4288
dc.identifierhttp://arxiv.org/abs/0807.4288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217747
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.titleQuantum Isometry Groups of 0- Dimensional Manifolds
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