An homological analogue of the Baum-Connes conjecture with coefficients for Lie groups
Axel Gastaldi
I2M
https://axelgastaldi-math.com/
Date(s) : 02/06/2026 iCal
14h00 - 15h00
The Baum-Connes conjecture for Lie groups establishes 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 remains unproven.
In this talk we propose an homological analogue of this conjecture with coefficients by comparing the periodic cyclic homology of smooth crossed product algebras. Our proof relies mostly on the adaptation of the Dirac-dual Dirac method to the Fréchet framework.
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
Catégories Pas de Catégories
