Joint spectrum and the infinite dihedral group

DOI10.1134/S0081543817040095zbMath1462.47003arXiv1605.01547OpenAlexW2964135769MaRDI QIDQ1675239

Rongwei Yang, Rostislav I. Grigorchuk

Publication date: 27 October 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01547

zbMATH Keywords

unitary representationsingular homology groupgroup \(C^*\)-algebrameasure-preserving transformationFuglede-Kadison determinantinfinite dihedral groupKoopman representationprojective joint spectrum

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Representation theory of groups (20C99) Groups acting on trees (20E08)

Related Items (17)

Characteristic polynomials and finitely dimensional representations of \(\mathfrak{sl}(2, \mathbb{C})\) ⋮ Spectral analysis near regular point of reducibility and representations of Coxeter groups ⋮ On a semigroup \(C^*\)-algebra for a semidirect product ⋮ The characteristic polynomial of projections ⋮ Characteristic polynomials and finite dimensional representations of simple Lie algebras ⋮ Self-similar groups and holomorphic dynamics: renormalization, integrability, and spectrum ⋮ A semigroup \(C^*\)-algebra related to the infinite dihedral group ⋮ Projective joint spectra and characters of representations of \(\tilde{A}_n\) ⋮ On unitary equivalence of compact operator tuples ⋮ A note on joint spectrum in function spaces ⋮ Determinants and characteristic polynomials of Lie algebras ⋮ Spectral hypersurfaces for operator pairs and Hadamard matrices of \(F\) type ⋮ Spectral invariants for finite dimensional Lie algebras ⋮ A note on group representations, determinantal hypersurfaces and their quantizations ⋮ On the characteristic polynomials of multiparameter pencils ⋮ Hermitian Geometry on Resolvent Set ⋮ Hermitian metric and the infinite dihedral group

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