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

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

We show that two approaches to equivariant deformation 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 still equivalent despite the nonunitarity of our 2 -cocycles.

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Veröffentlicht in:International journal of mathematics 2019-10, Vol.30 (11), p.1992002
Hauptverfasser: Bieliavsky, Pierre, Gayral, Victor, Neshveyev, Sergey, Tuset, Lars
Format: Artikel
Sprache:eng
Schlagworte:
Deformation
Lie groups
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Zusammenfassung:We show that two approaches to equivariant deformation 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 still equivalent despite the nonunitarity of our 2 -cocycles.
ISSN:0129-167X
1793-6519
DOI:10.1142/S0129167X19920022