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

Link to Full Text

Share

COinS