Letters in Mathematical Physics

, Volume 102, Issue 1, pp 107–123 | Cite as

Nonassociative Strict Deformation Quantization of C*-Algebras and Nonassociative Torus Bundles

  • Keith C. Hannabuss
  • Varghese 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. In particular, the Octonions fit nicely into our theory.

Mathematics Subject Classification (2010)

Primary 46L70 Secondary 47L70 46M15 18D10 46L08 46L55 


nonassociative strict deformation quantization nonassociative torus nonassociative torus bundles T-duality 


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Copyright information

© Springer 2012

Authors and Affiliations

  1. 1.Mathematical InstituteOxfordUK
  2. 2.Balliol CollegeOxfordUK
  3. 3.Department of Pure MathematicsUniversity of AdelaideAdelaideAustralia

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