Sofic groups and diophantine approximation
Functional Analysis
2007-05-23 v3 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0701294,
title = {Sofic groups and diophantine approximation},
author = {Andreas Thom},
journal= {arXiv preprint arXiv:math/0701294},
year = {2007}
}
Comments
15 pages, no figures