| Résume | An action of a group G on a C*-algebra A is equivariantly Z-stable if it tensorially absorbs the identity action the Jiang-Su algebra Z. Similarly to the role played by Z-stability in the study of nuclear C*-algebras, equivariant Z-stability is of central importance in the study of actions of amenable, discrete, countable groups on simple, nuclear, separable, Z-stable, unital C*-algebras. It is an open problem whether all such actions are automatically equivariantly Z-stable. In this talk I will introduce and discuss this notion, and I will present a recent result by Gardella, Hirshberg and myself, where we show that every G-action on a C*-algebra A as above is equivariantly Z-stable if the trace space T(A) of A satisfies certain topological and dynamical conditions. |
