Abstract
We generalize the construction by Pytlik and Szwarc of uniformly bounded representations for free groups to groups acting on trees. We deduce a new version of the proof (by Alain Valette and the author, 1983) of the fact that locally compact groups acting on trees with amenable stabilizers are amenable in $K$-theory.
Citation
Pierre Julg. "A new look at the proof of $K$-theoretic amenability for groups acting on trees." Bull. Belg. Math. Soc. Simon Stevin 22 (2) 263 - 269, may 2015. https://doi.org/10.36045/bbms/1432840862
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