Characters, \(L^2\)-Betti numbers and an equivariant approximation theorem
From MaRDI portal
Publication:1751030
DOI10.1007/s00208-017-1632-1zbMath1396.55002arXiv1702.02599OpenAlexW3101394354MaRDI QIDQ1751030
Publication date: 23 May 2018
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.02599
Cohomology of groups (20J06) Discontinuous groups of transformations (57S30) Singular homology and cohomology theory (55N10) Cohomology of arithmetic groups (11F75)
Related Items (3)
On upper bounds for the first ℓ²-Betti number ⋮ Equivariant Benjamini–Schramm convergence of simplicial complexes and ℓ2-multiplicities ⋮ On p‐adic limits of topological invariants
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite factor representations of Higman-Thompson groups.
- Approximating \(L^2\)-invariants by their classical counterparts
- On limit multiplicities of representations with cohomology in the cuspidal spectrum
- On the growth of Betti numbers of locally symmetric spaces
- Limit multiplicities of cusp forms
- Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
- Endomorphisms of symbolic algebraic varieties
- Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
- Geometry of growth: approximation theorems for \(L^2\) invariants
- Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
- \(\ell^2\) invariants of equivalence relations and groups
- Asymptotics of Betti numbers, \(l^ 2\)-invariants and laminations
- Weak convergence and empirical processes. With applications to statistics
- Introduction to sofic and hyperlinear groups and Connes' embedding conjecture. With an appendix by Vladimir Pestov
- Über unitäre Darstellungen abzählbarer, diskreter Gruppen
- $L^2$-determinant class and approximation of $L^2$-Betti numbers
- The L^2-cohomology of negatively curved Riemannian symmetric spaces
- L2-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices
- On sofic groups
- Measure and integration theory
This page was built for publication: Characters, \(L^2\)-Betti numbers and an equivariant approximation theorem