"Existence and Rigidity of Quantum Isometry Groups for Compact Metric S" by Alexandru Chirvasitu and Debashish Goswami
 

Existence and Rigidity of Quantum Isometry Groups for Compact Metric Spaces

Article Type

Research Article

Publication Title

Communications in Mathematical Physics

Abstract

We prove the existence of a quantum isometry groups for new classes of metric spaces: (i) geodesic metrics for compact connected Riemannian manifolds (possibly with boundary) and (ii) metric spaces admitting a uniformly distributed probability measure. In the former case it also follows from recent results of the second author that the quantum isometry group is classical, i.e. the commutative C∗-algebra of continuous functions on the Riemannian isometry group.

First Page

723

Last Page

754

DOI

10.1007/s00220-020-03849-3

Publication Date

12-1-2020

Comments

Open Access, Green

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