Quasi-invariant states for the action of compact groups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916867366453248 |
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| author | Griseta, Maria Elena |
| author_facet | Griseta, Maria Elena |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-invariant states for the action of compact groups Griseta, Maria Elena Operator Algebras 46L05, 46L30, 37N20 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. |
| title | Quasi-invariant states for the action of compact groups |
| topic | Operator Algebras 46L05, 46L30, 37N20 |
| url | https://arxiv.org/abs/2507.20931 |