Work

Parametrized Strict Deformation Quantization of C-bundles and Hilbert C-modules

Year: 2011

Type: article

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.

Source: Journal of the Australian Mathematical Society

DOI: 10.1017/s1446788711001170

Authors: KEITH C. HANNABUSS, VARGHESE MATHAI

Institutions: University of Oxford, The University of Adelaide

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: University of Oxford

OpenAlex ID: W2154958674