Boundaries of reduced free group C*‐algebras | Zendy

Ozawa Narutaka | Zendy

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Boundaries of reduced free group C*‐algebras

Author(s) -

Ozawa Narutaka

Publication year - 2007

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdl003

Subject(s) - mathematics , injective function , group (periodic table) , free product , envelope (radar) , pure mathematics , crossed product , product (mathematics) , boundary (topology) , group algebra , algebra over a field , free group , combinatorics , mathematical analysis , geometry , chemistry , telecommunications , radar , computer science , organic chemistry

We prove that the crossed product C*‐algebra C * r (Γ, ∂Γ) of a free group Γ with its boundary ∂Γ sits naturally 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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