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SUMMARY:Ved Prakash Gupta (JNU)
DTSTART:20201216T113000Z
DTEND:20201216T130000Z
DTSTAMP:20260423T035821Z
UID:WOTOA/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOTOA/16/">L
 attice of intermediate subalgebras of a pair of simple C*-algebras</a>\nby
  Ved Prakash Gupta (JNU) as part of Webinars on Operator Theory and Operat
 or Algebras\n\n\nAbstract\nThe study of the lattice of intermediate object
 s of a pair $B \\subset A$ in any category is quite a natural and fundamen
 tal question and has a significant say in obtaining a better understanding
  of the structures of the objects A and B. A good deal of work in this dir
 ection has been done in the category of finite groups\, both of qualitativ
 e and quantitave flavour. Its natural analogue in the theory of operator a
 lgebras has had some success\, though mainly quantitative in nature and ba
 sed on some existing tools. Continuing the trend\, in a recent work with K
 eshab Chandra Bakshi\, we developed certain tools in the category of simpl
 e C*-algebras (motivated by and analogous to the ones existing in the cate
 gory of simple von Neumann algebras) to answer a quantitative question of 
 Roberto Longo regarding the lattice of intermediate von Neumann subalgebra
 s of an inclusion of type III factors. We shall present some essence of th
 is development with an attempt to make the talk accessible to a larger aud
 ience.\n
LOCATION:https://researchseminars.org/talk/WOTOA/16/
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