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UID:9106@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260602T140000
DTEND;TZID=Europe/Paris:20260602T150000
DTSTAMP:20260527T203246Z
URL:https://www.i2m.univ-amu.fr/evenements/an-homological-analogue-of-the-
 baum-connes-conjecture-with-coefficients-for-lie-groups/
SUMMARY:Axel Gastaldi (I2M): An homological analogue of the Baum-Connes con
 jecture with coefficients for Lie groups
DESCRIPTION:Axel Gastaldi: The Baum-Connes conjecture for Lie groups establ
 ishes a link between the tempered dual of a real Lie group and the unitary
  dual of its maximal compact subgroup. This conjecture has been proved in 
 three different ways: via representation-theoretic arguments\, using the 
 Dirac-dual Dirac method and more recently via Mackey analogy. Conversely\,
  the Baum-Connes conjecture for Lie groups with coefficients still remai
 ns unproven.\nIn this talk we propose an homological analogue of this conj
 ecture with coefficients by comparing the periodic cyclic homology of sm
 ooth crossed product algebras. Our proof relies mostly on the adaptation 
 of the Dirac-dual Dirac method to the Fréchet framework.
CATEGORIES:AGLR,Représentations des Groupes Réductifs
LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1
 63 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Sall
 e de Séminaire 304-306 (3ème étage):geo:0,0
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