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arXiv · 2610.17543

Aperiodic automorphisms of the Razak--Jacelon algebra

Norio Nawata
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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.

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Norio Nawata. 2026-10-13. Aperiodic automorphisms of the Razak--Jacelon algebra. https://arxiv.org/abs/2610.17543

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