Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles
Quantum Algebra
2012-08-30 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Operator Algebras
Abstract
In this paper, we initiate the study of nonassociative strict deformation quantization of C*-algebras with a torus action. We shall also present a definition of nonassociative principal torus bundles, and give a classification of these as nonassociative strict deformation quantization of ordinary principal torus bundles. We then relate this to T-duality of principal torus bundles with -flux. We also show that the Octonions fit nicely into our theory.
Keywords
Cite
@article{arxiv.1012.2274,
title = {Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles},
author = {K. C. Hannabuss and V. Mathai},
journal= {arXiv preprint arXiv:1012.2274},
year = {2012}
}
Comments
15 pages, latex2e, exposition improved, to appear in LMP