Probability and Geometry on some Noncommutative Manifolds

Chakraborty, P. S. ; Goswami, D. ; Sinha, K. B. (2003) Probability and Geometry on some Noncommutative Manifolds Journal of Operator Theory, 49 (1). pp. 185-201. ISSN 0379-4024

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Official URL: http://www.mathjournals.org/jot/2003-049-001/2003-...

Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to Academia Romana.
Keywords:Noncommutative Torus; Laplacian; Dixmier Trace; Quantum Stochastic Process
ID Code:61301
Deposited On:15 Sep 2011 03:50
Last Modified:18 May 2016 11:04

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