Probability and Geometry on some Noncommutative Manifolds

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dc.creatorChakraborty, Partha Sarathi
dc.creatorGoswami, Debashish
dc.creatorSinha, Kalyan B.
dc.date2000-12-20
dc.date2001-11-01
dc.date.accessioned2026-07-07T04:39:21Z
dc.date.available2026-07-07T04:39:21Z
dc.descriptionIn a noncommutative torus, effect of perturbation by inner derivation on the associated quantum stochastic process and geometric parameters like volume and scalar curvature have been studied. Cohomological calculations show that the above perturbation produces new spectral triples. Also for the Weyl C^*-algebra, the Laplacian associated with a natural stochastic process is obtained and associated volume form is calculated. Keywords: noncommutative torus, Laplacian, Dixmier trace, quantum stochastic process.
dc.descriptionTo appear in Journal of Operator Theory
dc.identifierhttps://arxiv.org/abs/math/0012203
dc.identifierhttp://arxiv.org/abs/math/0012203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60625
dc.subjectOperator Algebras
dc.subjectDifferential Geometry
dc.subject46L87;81S25
dc.titleProbability and Geometry on some Noncommutative Manifolds
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