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Free lamplighter groups and a question of Atiyah
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 135, Number 3, June 2013
- pp. 835-849
- 10.1353/ajm.2013.0029
- Article
- Additional Information
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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.