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

Bieliavsky, Pierre;Gayral, Victor;Neshveyev, Sergey;Tuset, Lars
(2016) International Journal of Mathematics — Vol. 30, n° 03, p. 146-153 (2019)

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  • Bieliavsky, PierreUCLouvain
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  • Gayral, VictorUniversité de Reims Champagne-Ardenne
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  • Neshveyev, SergeyUniversity of Oslo
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  • Tuset, LarsOslo and Akershus University College
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Abstract
We show that two approaches to equivariant strict deformation quantization of C∗-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.
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Bieliavsky, P., Gayral, V., Neshveyev, S., & Tuset, L. (2016). On deformations of C-algebras by actions of Kählerian Lie groups. International Journal of Mathematics, 30(03), 146-153. https://doi.org/10.1142/s0129167x16500233 (Original work published 2019)