A remark about the spectral radius

2013/06/07 by Andreas Thom, Thom, Andreas · 2 citations
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Probability (math.PR) #math.FA #math.GR #math.PR

paper · pdf · doi:10.48550/arxiv.1306.1767

7 pages, no figures

arxiv created 2013/06/07 · arxiv updated 2013/06/10

Abstract

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

Cited by

• Algebraic singular functions are not always dense in the ideal of C^*-singular functions
• Nonamenable Poisson zoo

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