Rational group ring elements with kernels having irrational dimension

Tim Austin

doi:10.1112/plms/pdt029

Rational group ring elements with kernels having irrational dimension

Tim Austin

Mathematics

Research output: Contribution to journal › Article › peer-review

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 dim_LΓ 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	https://doi.org/10.1112/plms/pdt029
State	Published - Dec 2013

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Mathematics(all)

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10.1112/plms/pdt029

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title = "Rational group ring elements with kernels having irrational dimension",

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.",

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year = "2013",

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Rational group ring elements with kernels having irrational dimension

Abstract

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