## Bulletin of the Belgian Mathematical Society - Simon Stevin

### A new look at the proof of $K$-theoretic amenability for groups acting on trees

Pierre Julg

#### 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.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 22, Number 2 (2015), 263-269.

Dates
First available in Project Euclid: 28 May 2015

https://projecteuclid.org/euclid.bbms/1432840862

Digital Object Identifier
doi:10.36045/bbms/1432840862

Mathematical Reviews number (MathSciNet)
MR3351040

Zentralblatt MATH identifier
1327.19010

#### Citation

Julg, Pierre. A new look at the proof of $K$-theoretic amenability for groups acting on trees. Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 2, 263--269. doi:10.36045/bbms/1432840862. https://projecteuclid.org/euclid.bbms/1432840862