Congruence subgroups and the Atiyah conjecture

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dc.creatorFarkas, Daniel R.
dc.creatorLinnell, Peter A.
dc.date2005-11-30
dc.date2006-03-17
dc.date.accessioned2026-07-07T06:51:56Z
dc.date.available2026-07-07T06:51:56Z
dc.descriptionLet A denote the algebraic closure of the rationals Q in the complex numbers C. Suppose G is a torsion-free group which contains a congruence subgroup as a normal subgroup of finite index and denote by U(G) the C-algebra of closed densely defined unbounded operators affiliated to the group von Neumann algebra. We prove that there exists a division ring D(G) such that A[G] < D(G) < U(G). This establishes some versions of the Atiyah conjecture for the group G.
dc.descriptionSecond version: 14 pages. Minor corrections and changes, some due to helpful comments by the referee
dc.identifierhttps://arxiv.org/abs/math/0511747
dc.identifierhttp://arxiv.org/abs/math/0511747
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105154
dc.subjectRings and Algebras
dc.subjectFunctional Analysis
dc.subjectGeometric Topology
dc.subject16S34 (Primary) 20C07, 22D25, 46L99 (Secondary)
dc.titleCongruence subgroups and the Atiyah conjecture
dc.typetext

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