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HALF-LIBERATED MANIFOLDS AND THEIR QUANTUM ISOMETRIES

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  10 June 2016

TEODOR BANICA
TEODOR BANICA*
Affiliation:
Department of Mathematics, Cergy-Pontoise University, 95000 Cergy-Pontoise, France E-mail: teodor.banica@u-cergy.fr
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Abstract

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We discuss the half-liberation operation X → X*, for the algebraic submanifolds of the unit sphere, $X\subset S^{N-1}_\mathbb C$. There are several ways of constructing this correspondence, and we take them into account. Our main results concern the computation of the affine quantum isometry group G+(X*), for the sphere itself.

MSC classification

Primary: 46L65: Quantizations, deformations
Secondary: 46L54: Free probability and free operator algebras
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 2 , May 2017 , pp. 463 - 492
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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