Every action of a countable discrete amenable group on a simple, separable, unital, infinite-dimensional, nuclear, stably finite, Jiang–Su-stable complex C∗-algebra absorbs the trivial Jiang–Su action up to cocycle conjugacy, with no condition on its action on traces.
Every action of a countable discrete amenable group on a simple, separable, unital, infinite-dimensional, nuclear, stably finite, Jiang–Su-stable complex C∗-algebra absorbs the trivial Jiang–Su action up to cocycle conjugacy, with no condition on its action on traces.
Every action of a countable discrete amenable group on a simple, separable, unital, infinite-dimensional, nuclear, stably finite, Jiang–Su-stable complex C∗-algebra absorbs the trivial Jiang–Su action up to cocycle conjugacy, with no condition on its action on traces.
If correct, proves the unital stably finite case of Szabó’s conjecture for arbitrary amenable actions.
Do arbitrary amenable actions on unital stably finite Jiang–Su-stable algebras absorb the trivial Jiang–Su action?
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OpenAI reports equivariant Jiang–Su stability for amenable actions
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