Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The $K$-theory of Gromov's translation algebras and the amenability of discrete groups


Author: Gábor Elek
Journal: Proc. Amer. Math. Soc. 125 (1997), 2551-2553
MSC (1991): Primary 20F38
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 translation algebra.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 20F38

Retrieve articles in all journals with MSC (1991): 20F38


Additional Information

Gábor Elek
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47906
Address at time of publication: Mathematical Institute, Hungarian Academy of Science, P. O. Box 127, H-1364 Budapest, Hungary
Email: elekgab@math.purdue.edu, elek@math-inst.hu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04056-2
PII: S 0002-9939(97)04056-2
Received by editor(s): April 9, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society