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SUMMARY:Soumyashant Nayak (ISI Bangalore)
DTSTART:20201014T113000Z
DTEND:20201014T130000Z
DTSTAMP:20260423T021259Z
UID:WOTOA/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOTOA/8/">Wh
 at is a Murray-von Neumann algebra?</a>\nby Soumyashant Nayak (ISI Bangalo
 re) as part of Webinars on Operator Theory and Operator Algebras\n\n\nAbst
 ract\nIt was observed by Murray and von Neumann in their seminal paper on 
 rings of operators (1936) that the set of closed\, densely-defined operato
 rs affiliated with a finite von Neumann algebra has the structure of a *-a
 lgebra. The algebra of affiliated operators naturally appears in many cont
 exts\; for instance\, in the setting of group von Neumann algebras in the 
 study of non-compact spaces and infinite group actions. In this talk\, we 
 will give an intrinsic description of Murray-von Neumann algebras avoiding
  reference to a Hilbert space\, thus\, revealing the intrinsic nature of v
 arious notions associated with such affiliated operators. In fact\, we wil
 l view Murray-von Neumann algebras as ordered complex topological *-algebr
 as arising from a functorial construction over finite von Neumann algebras
 .\n
LOCATION:https://researchseminars.org/talk/WOTOA/8/
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