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SUMMARY:Fabio Cipriani (Politechnic Milano)
DTSTART:20210610T140000Z
DTEND:20210610T144500Z
DTSTAMP:20260423T004516Z
UID:Opalg21/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Opalg21/13/"
 >KMS Dirichlet forms\, coercivity and superbounded Markovian semigroups</a
 >\nby Fabio Cipriani (Politechnic Milano) as part of Conference on operato
 r algebras and related topics in Istanbul\, 2021\n\n\nAbstract\nWe provide
  a new construction of Dirichlet forms on von Neumann algebras associated 
 to eigenvalues of the modular operator of f.n. non tracial states. We desc
 ribe their structure in terms of derivations and prove coercivity bounds\,
  from which the spectral growth rate are derived. We also introduce a regu
 larizing property of Markovian semigroups (superboundedness) stronger than
  hypercontractivity\, in terms of noncommutative Lp(M)spaces. We also prov
 e superboundedness for the Markovian semigroups associated to the class of
  Dirichlet forms introduced above\, for type I factors M. We then apply th
 is tools to provide a general construction of the quantum Ornstein-Uhlembe
 ck semigroups of the CCR and some of their non-perturbative deformations.\
 n
LOCATION:https://researchseminars.org/talk/Opalg21/13/
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