Existence and Rigidity of Quantum Isometry Groups for Compact Metric Spaces
Communications in Mathematical Physics
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.
Chirvasitu, Alexandru and Goswami, Debashish, "Existence and Rigidity of Quantum Isometry Groups for Compact Metric Spaces" (2020). Journal Articles. 41.
Open Access, Green