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SUMMARY:Severino T. Melo (Universidade de São Paulo)
DTSTART:20230315T190000Z
DTEND:20230315T200000Z
DTSTAMP:20260420T053338Z
UID:NYC-NCG/126
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/126/
 ">Pseudodifferential operators in strict deformation quantization</a>\nby 
 Severino T. Melo (Universidade de São Paulo) as part of Noncommutative ge
 ometry in NYC\n\n\nAbstract\nMost of the talk will be about old results of
  H. O. Cordes\, Marcela Merklen and myself about characterizations of pseu
 dodifferential\noperators as smooth vectors for actions of the Heisenberg 
 group. Then I will announce related results recently obtained with Rodrigo
  Cabral and Michael Forger\nabout a class of pseudodifferential operators 
 with $C^*$-algebra-valued symbols introduced by M. Rieffel in his construc
 tion of a "strict deformation\nquantization" for a $C^*$-algebra with an a
 ction of $R^n$. We have proven the uniqueness of the $C^*$-norm for Rieffe
 l's (non complete) algebra and have\nalso proven a conjecture of Rieffel w
 hich characterizes his pseudodifferential operators as the smooth vectors 
 for an action of the Heisenberg group.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/126/
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