Work

Quasi-invariant states for the action of compact groups

Year: 2025

Type: article

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.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2025.130278

Author: Maria Elena Griseta

Institution: University of Bari Aldo Moro

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Universita degli Studi di Bari Aldo Moro, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, Ministero dell'Istruzione e del Merito