Phillips's tracial Rokhlin property conjecture for outer finite-group actions

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Let AA be a unital Kirchberg algebra, and let α ⁣:G→Aut⁡(A)\alpha \colon G \to \operatorname{Aut}(A) be an action of a finite group GG on AA such that αg\alpha_g is outer for all g∈G∖{1}g \in G \setminus \{1\}. Phillips's conjecture. Then α\alpha has the tracial Rokhlin property, as given in Definition 1.2 of Phillips–??. This would provide a tracial analogue of the strict Rokhlin property for outer actions, avoiding the K-theoretic obstructions to the strict version for purely infinite simple algebras.

References

Primary source

N. Christopher Phillips, “Finite cyclic group actions with the tracial Rokhlin property”, arXiv:math/0609785 (2006).

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