Aperiodic automorphisms of the Razak--Jacelon algebra
Norio Nawata
Abstract
We completely classify aperiodic automorphisms of the Razak--Jacelon algebra 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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