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.
Quasi-invariant states for the action of compact groups
Griseta, Maria Elena
2026-01-01
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.File in questo prodotto:
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