Quasi-invariant states for the action of compact groups
Operator Algebras
2025-07-29 v1
Abstract
We analyze a natural C*-algebraic definition of G-quasi-invariant states for the automorphic action of a compact group G. We prove that, given a G-quasi-invariant state with central support, when the action of the group G commutes with the modular group, its GNS representation is equivalent to that of a G-invariant state.
Cite
@article{arxiv.2507.20931,
title = {Quasi-invariant states for the action of compact groups},
author = {Maria Elena Griseta},
journal= {arXiv preprint arXiv:2507.20931},
year = {2025}
}