Cohomological obstructions to lifting properties for full C*-algebras of property (T) groups
From MaRDI portal
Publication:2216467
DOI10.1007/s00039-020-00550-4zbMath1461.46049arXiv2006.01874OpenAlexW3095889766MaRDI QIDQ2216467
Pieter Spaas, Matthew Wiersma, Adrian Ioana
Publication date: 16 December 2020
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.01874
Cohomology of groups (20J06) Homology and cohomology of Lie groups (57T10) General theory of (C^*)-algebras (46L05) Compact groups (22C05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Continuous cohomology of Lie groups (22E41)
Related Items
Flexible Hilbert-Schmidt stability versus hyperlinearity for property (T) groups ⋮ On amenable Hilbert-Schmidt stable groups ⋮ Obstructions to matricial stability of discrete groups and almost flat $K$-theory ⋮ On the lifting property for \(C^{\ast}\)-algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A remark on \(\mathbb{T}\)-valued cohomology groups of algebraic group actions
- Strong solidity of group factors from lattices in SO(\(n,1\)) and SU(\(n,1\))
- Orbit inequivalent actions for groups containing a copy of \(\mathbb{F}_{2}\)
- On property (T) for pairs of topological groups
- On II\(_{1}\) factors arising from 2-cocycles of \(w\)-rigid groups
- Remarks on \(B(H)\otimes B(H)\)
- Examples of hyperlinear groups without factorization property
- The completely positive lifting problem for \(C^*\)-algebras
- The cohomology of \(SL_3(Z)\)
- On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
- Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
- Topology and descriptive set theory
- Discrete groups with Kazhdan's property \(T\) and factorization property are residually finite
- Rigidity of commensurators and irreducible lattices
- Characterizations of the weak expectation property
- Stability of group relations under small Hilbert-Schmidt perturbations
- Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\)
- Gromov's measure equivalence and rigidity of higher rank lattices
- Orbit equivalence rigidity
- Splitting in orbit equivalence, treeable groups, and the Haagerup property
- Group stability and property (T)
- Continuity properties of measurable group cohomology
- Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
- Connection of the dual space of a group with the structure of its closed subgroups
- On nuclear C\(^*\)-algebras
- On cocycle superrigidity for Gaussian actions
- On the superrigidity of malleable actions with spectral gap
- OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS
- Finitely-additive invariant measures on Euclidean spaces
- Kazhdan constants for SL (3, Z).
- Coboundaries and Homomorphisms for Non-Singular Actions and a Problem of H. Helson
- Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
- An amenable equivalence relation is generated by a single transformation
- Group Extensions and Cohomology for Locally Compact Groups. III
- Group Extensions and Cohomology for Locally Compact Groups. IV
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- Commutants of unitaries in UHF algebras and functorial properties of exactness.
- There is no separable universal 𝐼𝐼₁-factor
- Approximate equivalence of group actions
- On the full C*-algebras of arithmetic groups and the congruence subgroup problem
- ABOUT THE QWEP CONJECTURE
- Tensor Products of <I>C</I>*-Algebras and Operator Spaces
- Tsirelson's problem and asymptotically commuting unitary matrices
- Bounded generation and Kazhdan's property (T)
