Minimal projections, integrable representations and property (T)

DOI10.1007/BF01193846zbMath0538.22006MaRDI QIDQ793161

Alain Valette

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

group representationsdirect sum decompositiongroup \(C^*\)-algebraproperty (T)central minimal projectorclosed normal subgroup

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items (16)

NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T) ⋮ Topological property (T) for groupoids ⋮ A family of exotic group C*-algebras ⋮ On almost representations of groups with property \((T)\) ⋮ Sofic boundaries of groups and coarse geometry of sofic approximations ⋮ \(\text{Weak}^\ast \)-continuity of invariant means on spaces of matrix coefficients ⋮ Projections in full \(C^*\)-algebras of semisimple Lie groups ⋮ Geometric property (T) ⋮ Separation properties in the primitive ideal space of a multiplier algebra ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ On the spectrum of the sum of generators for a finitely generated group ⋮ Projections in 𝐿¹(𝐺): the unimodular case ⋮ Compact open sets in dual spaces and projections in group algebras of \([FC^{-}\) groups] ⋮ Property T for locally compact quantum groups ⋮ Kazhdan's property \((T)\) and amenable representations ⋮ Property \(T\) of group homomorphisms

Cites Work

• Unnamed Item
• Square-integrable representations and the dual topology
• On the regular representation of a nonunimodular locally compact group
• On isolated points in the dual spaces of locally compact groups
• Group representations. A survey of some current topics
• Induced representations of C\(^*\)-algebras
• K-theoretic amenability for discrete groups.

This page was built for publication: Minimal projections, integrable representations and property (T)