Relatively Hyperbolic Groups with Rapid Decay Property
Relatively Hyperbolic Groups with Rapid Decay Property
We prove that a finitely generated group $G$ hyperbolic relative to the collection of finitely generated subgroups H_1,..., H_m has the Rapid Decay property if and only if each H_i, i=1,2,..., m, has the Rapid Decay property.
10 pages. Accepted in International Mathematics Research Notices
- Vanderbilt University United States
- University of Oxford United Kingdom
\(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Group Theory (math.GR), rapid decay property, Functional Analysis (math.FA), Hyperbolic groups and nonpositively curved groups, Mathematics - Functional Analysis, Structure and classification of infinite or finite groups, relatively hyperbolic group, finitely generated group, FOS: Mathematics, reduced \(C^*\)-algebra, Mathematics - Group Theory
\(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Group Theory (math.GR), rapid decay property, Functional Analysis (math.FA), Hyperbolic groups and nonpositively curved groups, Mathematics - Functional Analysis, Structure and classification of infinite or finite groups, relatively hyperbolic group, finitely generated group, FOS: Mathematics, reduced \(C^*\)-algebra, Mathematics - Group Theory
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