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SUMMARY:Ultraproducts and the Atiyah conjecture - Peter Linnell (Virginia 
 Tech)
DTSTART:20091028T163000Z
DTEND:20091028T173000Z
UID:TALK20615@talks.cam.ac.uk
CONTACT:Jan Saxl
DESCRIPTION:Let G be a group.  Then there is a von Neumann regular algebra
  U(G)\ncontaining the complex group algebra CG.  One version of the Atiyah
 \nconjecture states that if G is torsion-free\, then there is a division\n
 ring D such that CG < D < U(G).  Let K denote the algebraic closure\nof th
 e rationals in C.  In many cases\, it can be proven that there\nis a divis
 ion ring D such that KG < D < U(G).  In this talk\, results\non the Atiyah
  conjecture will be presented\, in particular when G\nis a pro-p group\, a
 nd then how one can go from KG to CG.  This will\ninvolve the use of ultra
 products\, which will be described.\n
LOCATION:MR12
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