Quantum Isometry Group of the n tori
Operator Algebras
2009-02-17 v2 Quantum Algebra
Abstract
We show that the Quantum Isometry Group(as introduced in \cite{goswami}) of the n tori is the classical isometry group. Moreover, using a result in \cite{bhowmick goswami}, we conclude that the Quantum Isometry group of the noncommutative n tori is a Rieffel deformation of the Quantum Isometry Group of the commutative n tori.
Keywords
Cite
@article{arxiv.0803.4434,
title = {Quantum Isometry Group of the n tori},
author = {Jyotishman Bhowmick},
journal= {arXiv preprint arXiv:0803.4434},
year = {2009}
}
Comments
Minor changes, acknowledgement to an unknown referee who pointed out that a separability assumption can be removed, to appear in Proc. Amer. Math. Soc