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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Ergodic states on type III_1 factors and ergodic a
 ctions - Stefaan Vaes (KU Leuven)
DTSTART;TZID=Europe/London:20230626T100000
DTEND;TZID=Europe/London:20230626T110000
UID:TALK201964AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/201964
DESCRIPTION:I will report on a joint work with Amine Marrakchi
 . Since the early days of Tomita-Takesaki theory\,
  it is known that a von Neumann algebra that admit
 s a state with trivial centralizer must be a type 
 III_1 factor\, but the converse remained open. I w
 ill present a solution of this problem\, proving t
 hat such ergodic states form a dense G_\\delta set
  among all faithful normal states on any III_1 fac
 tor with separable predual. Through Connes' Radon-
 Nikodym cocycle theorem\, this problem is related 
 to the existence of ergodic cocycle perturbations 
 for outer group actions\, which I will discuss in 
 the second half of the talk.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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