The $K$-theory of Gromov’s translation algebras and the amenability of discrete groups
Work
Year: 1997
Type: article
Abstract: We prove the following theorem. A finitely generated group $\Gamma$ is amenable if and only if $\boldsymbol {1}\neq \boldsymbol {0}$ in $K_0(T(\Gamma ))$, the algebraic $K$-theory group of its transla... more
Author Gábor Elek
Institution Purdue University West Lafayette
Cites: 5
Cited by: 10
Related to: 10
FWCI:
Citation percentile (by year/subfield): 64.99
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze