Free Lamplighter Groups and a Question of Atiyah
Group Theory
2014-08-14 v2 Combinatorics
Operator Algebras
Abstract
We compute the von Neumann dimensions of the kernels of adjacency operators on free lamplighter groups and show that they are irrational, thus providing an elementary constructive answer to a question of Atiyah.
Keywords
Cite
@article{arxiv.1005.2347,
title = {Free Lamplighter Groups and a Question of Atiyah},
author = {Franz Lehner and Stephan Wagner},
journal= {arXiv preprint arXiv:1005.2347},
year = {2014}
}
Comments
AMSLaTeX, 10 pages, to appear in Amer J Math