Probability and Geometry on some Noncommutative Manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In 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.
To appear in Journal of Operator Theory

Keywords

Operator Algebras, Differential Geometry, 46L87;81S25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/60625

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012203
 http://arxiv.org/abs/math/0012203

Collections

arXiv