Kazhdan projections, random walks and ergodic theorems
DOI10.1515/crelle-2017-0002zbMath1429.46036arXiv1501.03473OpenAlexW2962900670WikidataQ60508230 ScholiaQ60508230MaRDI QIDQ2272900
Piotr W. Nowak, Cornelia Drutu
Publication date: 17 September 2019
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.03473
uniformly convex Banach spacecoarse Baum-Connes conjectureKazhdan's property (T)Lafforgue's reinforced Banach property (T)
Geometric group theory (20F65) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) General theory of (C^*)-algebras (46L05)
Related Items (18)
Cites Work
- Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\)
- Ergodicity of group actions and spectral gap, applications to random walks and Markov shifts
- Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary.
- Higher index theory for certain expanders and Gromov monster groups. I
- A spectral gap theorem in SU\((d)\)
- Large scale geometry
- Minimal projections, integrable representations and property (T)
- Kazhdan's property T and \(C^{*}\)-algebras
- Group algebras acting on \(L^p\)-spaces
- A reinforcement of property (T)
- Kazhdan and Haagerup properties from the median viewpoint.
- Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
- On the spectrum of the sum of generators for a finitely generated group
- Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
- Explicit Kazhdan constants for representations of semisimple and arithmetic groups
- Counterexamples to the Baum-Connes conjecture
- Random groups, random graphs and eigenvalues of \(p\)-Laplacians
- Approximation properties for noncommutative \(L^p\)-spaces of high rank lattices and nonembeddability of expanders
- Logarithm laws for flows on homogeneous spaces
- The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
- Lattice point problems and values of quadratic forms
- Ideal structure of uniform Roe algebras of coarse spaces
- Lattice point problems and distribution of values of quadratic forms
- Poincaré inequalities and rigidity for actions on Banach spaces
- On groups with property \((T_{\ell_p})\)
- Property \((T)\) and rigidity for actions on Banach spaces
- Dynamical Borel-Cantelli lemma for hyperbolic spaces
- Warped cones and property A
- Ghostbusting and property A
- On the spectral gap for finitely-generated subgroups of \(\text{SU}(2)\)
- Ghost ideals in uniform Roe algebras of coarse spaces
- Hyperbolic groups admit proper affine isometric actions on \(l^p\)-spaces
- Diophantine approximation on rational quadrics
- Almost isometric actions, property (T), and local rigidity
- The Baum-Connes conjecture with coefficients for word-hyperbolic groups (after Vincent Lafforgue)
- Transference principles and locally symmetric spaces
- Full Banach Mean Values on Countable groups.
- Kazhdan constants for SL (3, Z).
- Expander graphs and their applications
- PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE
- Unbounded Negative Definite Functions
- Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (T)
- Cohomologie ℓp espaces de Besov
- Proper isometric actions of hyperbolic groups on -spaces
- Strong Banach property (T) for simple algebraic groups of higher rank
- On the cohomology of weakly almost periodic group representations
- Cohomology of deformations
- Markov Chains, Skew Products and Ergodic Theorems for “General” Dynamic Systems
- Gaps between values of positive definite quadratic forms
- A note on the Borel-Cantelli lemma
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