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TZID:Europe/Vienna
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DTSTART:20220327T030000
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BEGIN:VEVENT
DTSTAMP:20260404T110124Z
UID:1648736100@ist.ac.at
DTSTART:20220331T161500
DTEND:20220331T171000
DESCRIPTION:Speaker: Martijn Caspers\nhosted by Jan Maas / Haonan Zhang\nAb
 stract: A quantum Markov semi-group can be regarded as a noncommutative an
 alogue of a classical diffusion process such as the Heat semi-group. These
  quantum Markov semi-groups arise in quantum probability with time evoluti
 ons of open systems that interact with their environment. In this talk we 
 focus on quantum Markov semi-groups on von Neumann algebras. We first prov
 e that their generators\, i.e. the noncommutative Laplacian\, have close l
 inks to fundamental properties of the von Neumann algebra. In particular t
 he growth rate of the eigenvalues relate to approximation properties of th
 e von Neumann algebra such as amenability and Haagerup property. In the la
 st part of the talk we show that quantum Markov semi-groups also have clos
 e ties with deeper structural properties such as the existence of Cartan s
 ubalgebras. 
LOCATION:Mondi 2 (I01.01.008)\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Martijn Caspers: Quantum Markov semi-groups and approximation/rigid
 ity of von Neumann algebras
URL:https://talks-calendar.ista.ac.at/events/3677
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