The spectral measure of certain elements of the complex group ring of a wreath product
From MaRDI portal
Publication:1851080
DOI10.1023/A:1020381532489zbMath1021.47014arXivmath/0107145MaRDI QIDQ1851080
Publication date: 15 December 2002
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0107145
Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Eigenvalue problems for linear operators (47A75) Algebraic topology of manifolds (57N65) Transcendental field extensions (12F20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items
\(L^2\)-Betti numbers arising from the lamplighter group ⋮ Mean dimension, mean rank, and von Neumann-Lück rank ⋮ The Poisson boundary of lamplighter random walks on trees ⋮ Approximating the group algebra of the lamplighter by infinite matrix products ⋮ Closed manifolds with transcendentalL2-Betti numbers: ⋮ Radon transforms and lamplighter random walks ⋮ The Realization Problem for some wild monoids and the Atiyah Problem ⋮ Harmonic analysis of finite lamplighter random walks ⋮ On computing homology gradients over finite fields ⋮ Hodge theory on metric spaces. Appendix by Anthony W. Baker ⋮ Spectral distribution and \(L^{2}\)-isoperimetric profile of Laplace operators on groups ⋮ Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions ⋮ On Turing dynamical systems and the Atiyah problem ⋮ The lamplighter group of rank two generated by a bireversible automaton ⋮ Horocyclic products of trees ⋮ On the spectrum of lamplighter groups and percolation clusters ⋮ Group ring elements with large spectral density ⋮ Spectral analysis for convolution operators on locally compact groups ⋮ The Canophy graph and level statistics for random operators on trees ⋮ Twisting L2-invariants with finite-dimensional representations ⋮ Dynamical properties of a cellular automaton on a countable group ⋮ Lamplighter graphs do not admit harmonic functions of finite energy ⋮ A note on the Poisson boundary of lamplighter random walks ⋮ Finite group extensions and the Atiyah conjecture ⋮ Positive harmonic functions for semi-isotropic random walks on trees, lamplighter groups, and DL-graphs ⋮ The spectra of lamplighter groups and Cayley machines. ⋮ On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators ⋮ Equality of Lifshitz and van Hove exponents on amenable Cayley graphs ⋮ ON A CLASS OF AUTOMATA GROUPS GENERALIZING LAMPLIGHTER GROUPS ⋮ A NOTE ON THE NORMS OF TRANSITION OPERATORS ON LAMPLIGHTER GRAPHS AND GROUPS ⋮ Lamplighter groups, bireversible automata, and rational series over finite rings ⋮ Spectra of Cayley graphs of the lamplighter group and random Schrödinger operators ⋮ The trace on the \(K\)-theory of group \(C^*\)-algebras