Please use this identifier to cite or link to this item:
|Scopus||Web of Science®||Altmetric|
|Title:||Parameterized strict deformation quantization of C*-bundles and Hilbert C*-modules|
|Citation:||Journal of the Australian Mathematical Society, 2011; 90(1):25-38|
|Publisher:||Australian Mathematics Publ Assoc Inc|
|Keith C. Hannabuss and Varghese Mathai|
|Abstract:||In this paper, we review the parametrized 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 H3-twisted noncommutative torus bundles over a locally compact space. This is extended to the case of general torus bundles and their parametrized 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 parametrized strict deformation quantization of Hilbert C*-modules over C*-bundles with fibrewise torus action.|
|Keywords:||parametrized strict deformation quantization; noncommutative principal torusbundles; T -duality, Hilbert module categories|
|Rights:||© Cambridge University Press 2011|
|Appears in Collections:||Mathematical Sciences publications|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.