Sofic groups and diophantine approximation

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We 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.
15 pages, no figures

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Functional Analysis, Group Theory, 16S34; 46L10; 46L50

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http://salesiana.dossiersoluciones.com/handle/123456789/122775

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701294
 http://arxiv.org/abs/math/0701294

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arXiv