Means and convex combinations of unitary operators.
Mesures de Haar et -couple d’un groupoïde mesuré
Multiplicity Theory Of Projections In Abelian Von Neumann Algebras.
Multipliers of AW*-Algebren.
Nombres de Betti et facteurs de type
Damien Gaboriau a montré récemment que les nombres de Betti des feuilletages mesurés à feuilles contractiles sont des invariants de la relation d’équivalence associée. Sorin Popa a utilisé ce résultat joint à des propriétés de rigidité des facteurs de type II pour en déduire l’existence de facteurs de type II dont le groupe fondamental est trivial.
Non-orbit equivalent actions of
For any , we construct a concrete 1-parameter family of non-orbit equivalent actions of the free group . These actions arise as diagonal products between a generalized Bernoulli action and the action , where is seen as a subgroup of .
Norm inequalities in star algebras.
Notes on automorphisms of ultrapowers of II₁ factors
In functional analysis, approximative properties of an object become precise in its ultrapower. We discuss this idea and its consequences for automorphisms of II₁ factors. Here are some sample results: (1) an automorphism is approximately inner if and only if its ultrapower is ℵ₀-locally inner; (2) the ultrapower of an outer automorphism is always outer; (3) for unital *-homomorphisms from a separable nuclear C*-algebra into an ultrapower of a II₁ factor, equality of the induced traces implies unitary...
Notes on Cartan subalgebras in type II... factors.
Notes on modular conjugations of von Neumann factors.
Nuclear JC-algebras and tensor products of types.
On a decomposition of a von Neumann algebra
On approximately finite-dimensional von Neumann algebras.
On AW*-subalgrebras of type I AW*-algebras.
On Classes of Projections in a von Neumann Algebra.
On commutative algebras of unbounded operators
On Ergodic Flows and the Isomorphism of Factors.
On group representations whose algebra is an ideal in its von Neumann algebra
Let be a continuous unitary representation of the locally compact group on the Hilbert space . Let be the algebra generated byThe main result obtained in this paper is Theorem 1:If is -compact and then supp is discrete and each in supp in CCR.We apply this theorem to the quasiregular representation and obtain among other results that implies in many cases that is a compact coset space.
On Groups of Automorphisms of the Tensor Product of von Neumann Algebras.
On Inner Ideals in Ternary Algebras.