Boundaries of reduced free group C*-algebras
نویسندگان
چکیده
منابع مشابه
Boundaries of Reduced Free Group C-algebras
We prove that the crossed product C∗-algebra C∗ r (Γ, ∂Γ) of a free group Γ with its boundary ∂Γ naturally sits between the reduced group C∗algebra C∗ r Γ and its injective envelope I(C∗ r Γ). In other words, we have natural inclusion C∗ r Γ ⊂ C∗ r (Γ, ∂Γ) ⊂ I(C∗ r Γ) of C∗-algebras.
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0 Introduction For unital C-algebras endowed with states there is a natural reduced free product construction which generalizes the C-algebra of the regular representation of a free product group. Whereas the question of computing the K-theory and all the various KK-groups is completly understood in the case of discrete groups (see the work of Pimsner in 13]), little is known so far for more ge...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2006
ISSN: 0024-6093
DOI: 10.1112/blms/bdl003