286 citations · 878 across the 61 of their papers we have counts for
71 papers
The lifting property for -algebras : from local to global ?
Gilles Pisier
This note is motivated by Kirchberg's conjecture that the local lifting property (LLP) implies the lifting property (LP) for -algebras. The author recently constructed by a "l…
Operator spaces with the WEP, the OLLP and the Gurarii property
Gilles Pisier
We construct non-exact operator spaces satisfying the Weak Expectation Property (WEP) and the Operator space version of the Local Lifting Property (OLLP). These examples should be…
Seemingly injective von Neumann algebras
Gilles Pisier
We show that a QWEP von Neumann algebra has the weak* positive approximation property if and only if it is seemingly injective in the following sense: there is a factorization of t…
On the Lifting Property for -algebras
Gilles Pisier
We characterize the lifting property (LP) of a separable -algebra by a property of its maximal tensor product with other -algebras, namely we prove that has the L…
A non-nuclear -algebra with the Weak Expectation Property and the Local Lifting Property
Gilles Pisier
We construct the first example of a -algebra with the properties in the title. This gives a new example of non-nuclear for which there is a unique -norm on $A \ot…
On a Characterization of the Weak Expectation Property (WEP)
Gilles Pisier
We give a detailed proof of a new characterization of the Weak Expectation Property (WEP) announced by Haagerup in the 1990's but unavailable (in any form) till now. Our main resul…