A Remark About the Spectral Radius

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 Mar 2014Embargo end date: 01 Jun 2013 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices (issn: 1073-7928, eissn: 1687-0247,

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Authors: A. Thom;

doi: 10.1093/imrn/rnu018 , 10.48550/arxiv.1306.1767

arXiv: 1306.1767

A Remark About the Spectral Radius

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Abstract

We show that for any finitely generated non-amenable group and any $\varepsilon>0$, there exists some finite symmetric generating set with spectral radius less than $\varepsilon$. We give applications to percolation theory and the theory of operator spaces.

7 pages, no figures

Related Organizations

Leipzig University
Germany

Keywords

Mathematics - Functional Analysis, Probability (math.PR), FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, Mathematics - Probability, Functional Analysis (math.FA)

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