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) |
|---|---|
| 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 |
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ASJC Scopus subject areas
- Mathematics(all)
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Rational group ring elements with kernels having irrational dimension. / Austin, Tim.
In: Proceedings of the London Mathematical Society, Vol. 107, No. 6, 12.2013, p. 1424-1448.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Rational group ring elements with kernels having irrational dimension
AU - Austin, Tim
PY - 2013/12
Y1 - 2013/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84890584572&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84890584572&partnerID=8YFLogxK
U2 - 10.1112/plms/pdt029
DO - 10.1112/plms/pdt029
M3 - Article
VL - 107
SP - 1424
EP - 1448
JO - Proceedings of the London Mathematical Society
JF - Proceedings of the London Mathematical Society
SN - 0024-6115
IS - 6
ER -