Sofic groups and diophantine approximation

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dc.creatorThom, Andreas
dc.date2007-01-10
dc.date2007-01-29
dc.date.accessioned2026-07-07T07:43:18Z
dc.date.available2026-07-07T07:43:18Z
dc.descriptionWe prove the algebraic eigenvalue conjecture of J. Dodziuk, P. Linnell, V. Mathai, T. Schick and S. Yates for sofic groups. Moreover, we give restrictions on the spectral measure of elements in the integral group ring. Finally, we define integer operators and prove a quantization of the operator norm below 2.
dc.description15 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0701294
dc.identifierhttp://arxiv.org/abs/math/0701294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122775
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.subject16S34; 46L10; 46L50
dc.titleSofic groups and diophantine approximation
dc.typetext

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