Quasi-invariant states for the action of compact groups
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.
Authors
- Maria Elena Griseta (ORCID: https://orcid.org/0000-0001-9733-3546)
Institutions
- University of Bari Aldo Moro (IT)
Publication Details
- Journal
- Journal of Mathematical Analysis and Applications
- Published
- 2025-11-26
- DOI
- https://doi.org/10.1016/j.jmaa.2025.130278
- Citations
- 1
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 3.69