Journal of Operator Theory

Volume 44, Issue 2, Fall 2000 pp. 369-411.

A deformation quantization procedure for $C^*$-algebras

Authors: Gabriel Nagy
Author institution: Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA

Summary: We discuss a framework for strict deformation quantization (in the sense of Rieffel) based on a GNS-type construction. These methods are applied then to prove that the quantum SU($N$) groups produce a strict deformation quantization of the classical SU($N$).

Keywords: Deformation, quantization, $C^*$-algebras, quantum group, GNS representation

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