Amenable unitary representations of locally compact groups
From MaRDI portal
Publication:914854
DOI10.1007/BF01231192zbMath0702.22010MaRDI QIDQ914854
Publication date: 1990
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143790
tensor productshomogeneous spacelocally compact groupamenabilityweak containmentleft regular representationquasi-regular representationamenable unitary representationconjugation representationinner-amenable
Harmonic analysis on homogeneous spaces (43A85) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Means on groups, semigroups, etc.; amenable groups (43A07)
Related Items
On cocycle superrigidity for Gaussian actions, Operator biflatness of the Fourier algebra and approximate indicators for subgroups, An example of amenable Kac systems, Topological Boundaries of Unitary Representations, Invariant states and a conditional fixed point property for affine actions, Charmenability of arithmetic groups of product type, Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint., On the operator homology of the Fourier algebra and its \(cb\)-multiplier completion, Vacuum orbit and spontaneous symmetry breaking in hyperbolic sigma-models, Amenability versus property (đ) for non-locally compact topological groups, Structure of the space of ground states in systems with non-amenable symmetries, On groups with quasidiagonal \(C^\ast\)-algebras, On invariant subalgebras of group and von Neumann algebras, Noncommutative ergodic theory of higher rank lattices, \(C^\ast\)-algebras of holonomy-diffeomorphisms \& quantum gravity. II, Properly proximal von Neumann algebras, Amenable representations and finite injective von Neumann algebras, Fourier Spaces and Completely Isometric Representations of Arens Product Algebras, Transience of algebraic varieties in linear groups -- applications to generic Zariski density., Weak separation properties for closed subgroups of locally compact groups, A Wiener Tauberian theorem for operators and functions, An amenability-like property of finite energy path and loop groups, Actions, quotients and lattices of locally compact quantum groups, A bipolar property of subgroups and translation invariant closed convex subsets, Free \(^*\)-subalgebras of C\(^*\)-algebras, The amenability and non-amenability of skew fields, Bekka-type amenabilities for unitary corepresentations of locally compact quantum groups, Strong solidity of group factors from lattices in SO(\(n,1\)) and SU(\(n,1\)), Topological centers of module actions induced by unitary representations, Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups, A spectral gap property for random walks under unitary representations, Relative property A and relative amenability for countable groups, Modular actions and amenable representations, Amenability of Banach and C$^*$-algebras generated by unitary representations, Convolutions for localization operators, Amenable representations and Reiter's property for Kac algebras, Amenability properties of unitary co-representations of locally compact quantum groups, On topological centers induced by unitary representations, Strongly amenable involutive representations of involutive Banach algebras, Group amenability and actions on \(\mathcal{Z} \)-stable C*-algebras, Inner amenability for groups and central sequences in factors, On the spectrum of the sum of generators for a finitely generated group, On đ¶*-algebras associated with locally compact groups, On the comparison of norms of convolutors associated with noncommutative dynamics, Kirchberg's factorization property for locally compact groups, Residual finiteness for central pushouts, Skew-amenability of topological groups, Correspondences and Approximation Properties for von Neumann Algebras, Amenability and Co-Amenability for Locally Compact Quantum Groups, Compact actions whose orbit equivalence relations are not profinite, Hyperlinear and Sofic Groups: A Brief Guide, Some extremely amenable groups, Kazhdan's property \((T)\) and amenable representations, Property \(T\) of group homomorphisms, Classification of type III Bernoulli crossed products
Cites Work
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Connection of the dual space of a group with the structure of its closed subgroups
- Free states of the canonical anticommutation relations
- Moyennes invariantes et représentations unitaires
- On nuclear C\(^*\)-algebras
- Weak containment and Kronecker products of group representations
- Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
- Conjugation-invariant means
- Operator Theoretic Characterizations of [ IN -Groups and Inner Amenability]
- Property Î and Inner Amenability
- Inner Amenability and Conjugation Operators
- Tensor Products of Unitary Representations of SL 2 (R)
- L'algĂšbre de Fourier d'un groupe localement compact
- The Dual Space of Semi-Simple Lie Groups
- Weak Containment and Induced Representations of Groups
- Cohomology in Banach algebras
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item