On deformations of C*-algebras by actions of Kahlerian Lie groups

Abstract

We show that two approaches to equivariant strict deformation quantization of C*-algebras by actions of negatively curved Kahlerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined by dual 2-cocycles, are equivalent.

arXiv commentv4: minor corrections; v3: adds erratum dealing with nonunitarity of the dual cocycle