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Equivariant rigidity of localized Bost-Connes C*-dynamical systems: the fixed-point algebra is the Cartan subalgebra

Year: 2026

Type: preprint

Abstract: For localized Bost-Connes C*-dynamical systems the fixed-point algebra of the gauge action is identified with the canonical Cartan subalgebra, and equivariant isomorphisms of the systems are shown to be governed by this identification: an equivariant rigidity theorem reducing dynamical isomorphism to the underlying groupoid data.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22368429

Author: Chen, Ruqing

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7208828909

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