Quantum Isometry Group of the n tori

Details Quantum Isometry Group of the n tori Quantum Isometry Group of the n tori

2008-03-31

arxiv.org/abs/0803.4434v2

Mathematics

Operator Algebras

Minor changes, acknowledgement to an unknown referee who pointed out that a separability assumption can be removed, to appear

Scientific paper

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.

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