1012.2274 (K. C. Hannabuss et al.)

Nonassociative strict deformation quantization of C*-algebras and
nonassociative torus bundles    [PDF]

K. C. Hannabuss, V. Mathai

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 $H$-flux. We also show that the Octonions fit nicely into our theory.

View original: http://arxiv.org/abs/1012.2274