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Institut de mathématiques
On Lyndon's equation in some Lambda-free groups and HNN extensions
2011-12-2, Ciobanu, Laura, Fine, Benjamin, Rosenberger, Gerhard
Weak forms of amenability for split rank 1 p-adic groups
1992, Valette, Alain
Rapidely Decreasing Functions in Reduced C*-Algebras of Groups
1990, Jolissaint, Paul
Introduction to the Baum-Connes conjecture
2002, Valette, Alain
An application of Ramanujan graphs to C*-algebra tensor products
1995, Valette, Alain
In a remarkable recent paper, Junge and Pisier (1995) prove that there are several distinct C*-norms on the tensor product B(H) x B(H), where B(H) is the C*-algebra of bounded linear operators on the usual Hilbert space H. To give a quantitative version of this result, they introduce the function lambda(n) = sup{\\u\\(max)/\\u\\(min): u a tensor with rank at most n in B(H) x B(H)}, and prove cn(1/8) less than or equal to lambda(n) less than or equal to n(1/2) for n > 2. In this note, we use Ramanujan graphs to get 1/2n(1/2) < lambda(n) for any n = q + 1, q a prime power. From this we deduce lim inf/pi-->infinity lambda(n)/root n greater than or equal to 1/2 root 3.
Isoperimetric control of the spectrum of a compact hypersurface
2013-10-2, Colbois, Bruno, El Soufi, Ahmad, Girouard, Alexandre
On the spectrum of the sum of generators of a finitely generated group II
1993, De La Harpe, Pierre, Robertson, Guyan, Valette, Alain
Short Proofs for Some Residual Properties of Free Groups
1993, Valette, Alain
Universal Groebner bases for maximal minors
2015-3-14, Conca, Aldo, De Negri, Emanuela, Gorla, Elisa