Sofic groups and diophantine approximation
نویسندگان
چکیده
منابع مشابه
Sofic Groups and Diophantine Approximation
We prove the algebraic eigenvalue conjecture of J.Dodziuk, P.Linnell, V.Mathai, T.Schick and S.Yates (see [2]) for sofic groups. Moreover, we give restrictions on the spectral measure of elements in the integral group ring. Finally, we prove a quantization of the operator norm below 2. To the knowledge of the author, there is no group known, which is not sofic.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2008
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.20217