A Remark About the Spectral Radius

DOI10.1093/IMRN/RNU018zbMATH Open1319.43007arXiv1306.1767OpenAlexW2078881779WikidataQ61677661 ScholiaQ61677661MaRDI QIDQ5254029

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Publication date: 8 June 2015

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1306.1767

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