Approximating \(L^2\)-invariants by their classical counterparts
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Publication:502141
DOI10.4171/EMSS/18zbMath1380.57032MaRDI QIDQ502141
Publication date: 30 December 2016
Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)
Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Determinants and determinant bundles, analytic torsion (58J52) PL-topology (57Q99)
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Torsion homology growth in arithmetic groups ⋮ Lehmer’s problem for arbitrary groups ⋮ Stable isoperimetric ratios and the Hodge Laplacian of hyperbolic manifolds ⋮ Asymptotic invariants of lattices in locally compact groups ⋮ Survey on L2‐invariants and 3‐manifolds ⋮ Higher Kazhdan projections, \(\ell_2\)-Betti numbers and Baum-Connes conjectures ⋮ On p‐adic limits of topological invariants ⋮ Twisting L2-invariants with finite-dimensional representations ⋮ Characters, \(L^2\)-Betti numbers and an equivariant approximation theorem ⋮ Examples of homological torsion and volume growth ⋮ Random walks on graphs and approximation of \(L^2\)-invariants ⋮ Mod \(p\) and torsion homology growth in nonpositive curvature ⋮ \(p\)-adic limits of renormalized logarithmic Euler characteristics ⋮ Unnamed Item ⋮ Analytic Torsion, Regulators and Arithmetic Hyperbolic Manifolds
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