Work

Aperiodic automorphisms of the Razak--Jacelon algebra

Year: 2026

Type: preprint

Abstract: We completely classify aperiodic automorphisms of the Razak--Jacelon algebra $\mathcal{W}$ up to outer conjugacy. As a technical ingredient, based on the works of Connes, Herman--Ocneanu, Kishimoto, and Sato, we introduce a notion of weak stability for automorphisms of simple separable monotracial C$^*$-algebras. We also consider automorphisms of UHF algebras of infinite type and the Jiang--Su algebra. In particular, we classify aperiodic ``UHF-absorbing'' automorphisms of UHF algebras of infinite type up to outer conjugacy.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.17543

Author: Nawata, Norio

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

OpenAlex ID: W7221833070

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