Rational group ring elements with kernels having irrational dimension

Details Rational group ring elements with kernels having irrational dimension Rational group ring elements with kernels having irrational dimension

2009-09-12

arxiv.org/abs/0909.2360v2

Mathematics

Group Theory

36 pages, 1 figure

Scientific paper

We prove that there are examples of finitely generated groups G together with
group ring elements Q \in \bbQ G for which the von Neumann dimension
\dim_{LG}\ker Q is irrational, so (in conjunction with other known results)
answering a question of Atiyah.

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