Abstract
We prove that there are examples of finitely generated groups Γ together with group ring elements Q∈QΓ for which the von Neumann dimension dimLΓ ker Q is irrational, thus (in conjunction with other known results) answering a question of Atiyah.
Original language | English (US) |
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Pages (from-to) | 1424-1448 |
Number of pages | 25 |
Journal | Proceedings of the London Mathematical Society |
Volume | 107 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2013 |
ASJC Scopus subject areas
- Mathematics(all)