C*-simplicity and the unique trace property for discrete groups
نویسندگان
چکیده
منابع مشابه
Shift-minimal groups, fixed price 1, and the unique trace property
A countable group Γ is called shift-minimal if every non-trivial measure preserving action of Γ weakly contained in the Bernoulli shift Γ y ([0, 1] , λ ) is free. We show that any group Γ whose reduced C∗-algebra Cr(Γ) admits a unique tracial state is shift-minimal, and that any group Γ admitting a free measure preserving action of cost> 1 contains a finite normal subgroup N such that Γ/N is sh...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 2017
ISSN: 0073-8301,1618-1913
DOI: 10.1007/s10240-017-0091-2