Renault's essential freeness conjecture for reduced crossed products
Renault's essential freeness conjecture for reduced crossed products
Let be a C*-dynamical system with discrete. The action of on the spectrum is called essentially free if, for every closed invariant subset , the points in with trivial isotropy are dense in . Renault's essential freeness conjecture. If the action of on is essentially free, then separates the ideals in the reduced crossed product . The claim would characterize essential freeness as sufficient for ideal separation in reduced crossed products, extending the role of topological freeness beyond the amenable or abelian settings. The supplied text attributes the claim to Renault and gives no resolution.
Sources & referencesView supporting material
Primary source
Adam Sierakowski, “The ideal structure of reduced crossed products”, arXiv:0804.3772 (2009).
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