Chakraborty, P.S. ; Goswami, D. ; Sinha, K.B. (2003) Probability And Geometry On Some Noncommutative Manifolds Journal of Operator Theory, 49 (3). pp. 185-201. ISSN 0379-4024
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Related URL: http://dx.doi.org/https://www.theta.ro/jot/archive/2003-049-001/2003-049-001-012.html
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 Theta Foundation. |
| Keywords: | Noncommutative Torus; Laplacian; Dixmier Trace; Quantum Stochastic Process. |
| ID Code: | 117032 |
| Deposited On: | 08 Apr 2021 07:46 |
| Last Modified: | 08 Apr 2021 07:46 |
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