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.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 835-849
Launched on MUSE
2013-05-30
Open Access
No
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