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Type: Journal article
Title: Probability and geometry on some noncommutative manifolds
Author: Chakraborty, Partha Sarathi
Goswami, Debashish
Sinha, Kalyan B.
Citation: Journal of Operator Theory, 2003; 49(1):185-201
Publisher: Theta Foundation
Issue Date: 2003
ISSN: 0379-4024
School/Discipline: School of Mathematical Sciences
Statement of
Partha Sarathi Chakraborty, Debashish Goswami and Kalyan B. Sinha
Abstract: In a noncommutative torus, effect of perturbation by inner derivation on the associated quantum stochastic process and geometric pa- rameters like volume and scalar curvature have been studied. Cohomolog- ical calculations show that the above perturbation produces new spectral triples. Also for the Weyl C∗-algebra, the Laplacian associated with a natu- ral stochastic process is obtained and associated volume form is calculated.
Keywords: Operator Algebras (math.OA); Differential Geometry (math.DG)
Description: Submitted to Cornell University’s online archive in 2003 by Partha Sarathi Chakraborty
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Appears in Collections:Mathematical Sciences publications

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