On deformations of C∗-algebras by actions of Kählerian Lie groups-Reference-Cited by-同舟云学术

On deformations of C∗-algebras by actions of Kählerian Lie groups

Published:2016-03 Issue:03 Volume:27 Page:1650023
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Bieliavsky Pierre¹,Gayral Victor²,Neshveyev Sergey³,Tuset Lars⁴

Affiliation:

1. Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, Chemin du, Cyclotron, 2, 1348 Louvain-la-Neuve, Belgium

2. Laboratoire de Mathématiques, Université de Reims Champagne-Ardenne, Moulin de la Housse – BP 1039, 51687 Reims, France

3. Department of Mathematics, University of Oslo, P. O. Box 1053 Blindern, NO-0316 Oslo, Norway

4. Department of Computer Science, Oslo and Akershus University College, of Applied Sciences, P. O. Box 4 St. Olavs Plass, NO-0130 Oslo, Norway

Abstract

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

Funder

European Research Council

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X16500233

Reference9 articles.

1. Strict Quantization of Solvable Symmetric Spaces

2. Memoirs of the American Mathematical Society;Bieliavsky P.,2015

3. Deformation of operator algebras by Borel cocycles

4. Rieffel deformation via crossed products

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