Nonassociative Tori and Applications to T-duality

  title={Nonassociative Tori and Applications to T-duality},
  author={K. C. Hannabuss and Varghese Mathai}
In this paper, we initiate the study of C *-algebras A endowed with a twisted action of a locally compact Abelian Lie group G, and we construct a twisted crossed product A⋊G, which is in general a nonassociative, noncommutative, algebra. The duality properties of this twisted crossed product algebra are studied in detail, and are applied to T-duality in Type II string theory to obtain the T-dual of a general principal torus bundle with general H-flux, which we will argue to be a bundle of… CONTINUE READING
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