12 research outputs found
Parametrised strict deformation quantization of C*-bundles and Hilbert C*-modules
In this paper, we use the parametrised strict deformation quantization of
C*-bundles obtained in a previous paper, and give more examples and
applications of this theory. In particular, it is used here to classify
H_3-twisted noncommutative torus bundles over a locally compact space. This is
extended to the case of general torus bundles and their parametrised strict
deformation quantization. Rieffel's basic construction of an algebra
deformation can be mimicked to deform a monoidal category, which deforms not
only algebras but also modules. As a special case, we consider the parametrised
strict deformation quantization of Hilbert C*-modules over C*-bundles with
fibrewise torus action.Comment: 13 page
Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles
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.Comment: 15 pages, latex2e, exposition improved, to appear in LM
Legislative History: An Act to Create a Pilot Project at the Yarmouth Information Center (HP442)(LD 568)
https://digitalmaine.com/legishist116/1567/thumbnail.jp