Probability and Geometry on some Noncommutative Manifolds

Details Probability and Geometry on some Noncommutative Manifolds Probability and Geometry on some Noncommutative Manifolds

2000-12-20

arxiv.org/abs/math/0012203v2

Mathematics

Operator Algebras

To appear in Journal of Operator Theory

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Probability and Geometry on some Noncommutative Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Probability and Geometry on some Noncommutative Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probability and Geometry on some Noncommutative Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374944