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SUMMARY:Cartan subalgebras and the UCT problem
DTSTART:20170330T140000
DTEND:20170330T150000
DTSTAMP:20260511T113850Z
UID:f3d2680d521129493bc050e5d3c50c308749717e2df4d86ad775ec21
CATEGORIES:Conferences - Seminars
DESCRIPTION:Selçuk Barlak\nThe question whether every separable\, nuclear
  C*-algebra satisfies Rosenberg-Schochet's universal coefficient theorem (
 UCT) is a major open problem in C*-algebra theory. Currently\, renewed int
 erest in this so-called UCT problem arises from the recent breakthrough re
 sults in the classification program for separable\, simple\, nuclear C*-al
 gebras\, where the UCT plays a rather mysterious role. In this talk\, conn
 ections between Cartan subalgebras\, that is\, MASAs admitting faithful co
 nditional expectations and generating the ambient C*-algebras in a suitabl
 e sense\, and the UCT problem will be illustrated. Using remarkable result
 s of Renault and Tu\, we will see that separable\, nuclear C*-algebras wit
 h Cartan subalgebras satisfy the UCT. Moreover\, I will try to explain the
  close connection between the UCT problem on the one hand and Cartan subal
 gebras and finite order automorphisms of the Cuntz algebra O_2 on the othe
 r. This is joint work with Xin Li.
LOCATION:MA A1 12
STATUS:CONFIRMED
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