The rank of finitely generated modules over group algebras-Reference-Cited by-同舟云学术

The rank of finitely generated modules over group algebras

Published:2003-02-06 Issue:11 Volume:131 Page:3477-3485
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Elek Gábor

Abstract

We show the existence of a rank function on finitely generated modules over group algebras K Γ K\Gamma , where K K is an arbitrary field and Γ \Gamma is a finitely generated amenable group. This extends a result of W. Lück (1998).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2003-131-11/S0002-9939-03-06908-9/S0002-9939-03-06908-9.pdf

Reference4 articles.

1. G. Elek, Amenable groups, topological entropy and Betti numbers. (to appear in the Israel Journal of Mathematics)

2. Dimension theory of arbitrary modules over finite von Neumann algebras and 𝐿²-Betti numbers. II. Applications to Grothendieck groups, 𝐿²-Euler characteristics and Burnside groups;Lück, Wolfgang;J. Reine Angew. Math.,1998

3. Entropy and isomorphism theorems for actions of amenable groups;Ornstein, Donald S.;J. Analyse Math.,1987

4. Encyclopedia of Mathematics and its Applications;Ruelle, David,1978

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