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math.OA2010★ 104 cited
Non commutative Lp spaces without the completely bounded approximation property
Vincent Lafforgue, Mikael de la Salle
For any 1\leq p \leq \infty different from 2, we give examples of non-commutative Lp spaces without the completely bounded approximation property. Let F be a non-archimedian local…
math.OA2003
Banach KK-theory and the Baum-Connes conjecture
Vincent Lafforgue
The report below describes the applications of Banach KK-theory to a conjecture of P. Baum and A. Connes about the K-theory of group -algebras, and a new proof of the classifi…