On the vanishing of reduced 1-cohomology for Banach representations
DOI10.5802/aif.3363zbMath1473.43006arXiv1711.05566OpenAlexW3154371704MaRDI QIDQ2027755
Yves De Cornulier, Romain Tessera
Publication date: 28 May 2021
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.05566
unitary representationsamenable groupssolvable Lie groupsgroups of finite Prüfer rankBanach representationsproperty \(\mathcal{H}_{\mathrm{fd}}\)WAP representations
Ergodic theorems, spectral theory, Markov operators (37A30) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Other representations of locally compact groups (22D12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces
- Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity
- \(L_p\) compression, traveling salesmen, and stable walks.
- Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces
- Representations of a compact group on a Banach space
- Large scale Sobolev inequalities on metric measure spaces and applications
- Vanishing of the first reduced cohomology with values in an \(L^p\)-representation
- Cohomological dimension of soluble groups
- On the structure of groups with polynomial growth
- The metrical interpretation of superreflexivity in Banach spaces
- Harmonic forms with values in locally constant Hilbert bundles
- Global existence theorems for harmonic maps to nonlocally compact spaces
- Random walk in random groups.
- Rigidity of commensurators and irreducible lattices
- Harmonic analysis, cohomology, and the large-scale geometry of amenable groups
- Isoperimetric profile and random walks on locally compact solvable groups
- Finite-dimensional representations constructed from random walks
- Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property \(H_{\mathrm{FD}}\)
- Contractive automorphisms on locally compact groups
- Property \((T)\) and rigidity for actions on Banach spaces
- Geometric presentations of Lie groups and their Dehn functions
- Isometric group actions on Hilbert spaces: growth of cocycles
- Shalom's property \(H_{\mathrm{FD}}\) and extensions by \(\mathbb{Z}\) of locally finite groups
- The ergodic theorem for additive cocycles of ℤd or ℝd
- Dimension of asymptotic cones of Lie groups
- Weak Cauchy Sequences in L 1 (E)
- Croissance polynomiale et périodes des fonctions harmoniques
- 1-cohomologie des représentations unitaires des groupes de Lie semi-simples et résolubles. Produits tensoriels continus de représentations
- A functional analysis proof of Gromov's polynomial growth theorem
- Virtually torsion-free covers of minimax groups
- Operator Theoretic Aspects of Ergodic Theory
- On the cohomology of weakly almost periodic group representations
This page was built for publication: On the vanishing of reduced 1-cohomology for Banach representations
