Classification of injective factors: The work of Alain Connes.
Classification of JBW*-triple factors and applications.
Classification of JBW*-triples of Type I.
Classification of subfactors: the reduction to commuting squares.
Classifying C*-algebras via ordered, mod-p K-theory.
Closed Derivations in C*-Algebras.
Closed range multipliers and generalized inverses
Conditions involving closed range of multipliers on general Banach algebras are studied. Numerous conditions equivalent to a splitting A = TA ⊕ kerT are listed, for a multiplier T defined on the Banach algebra A. For instance, it is shown that TA ⊕ kerT = A if and only if there is a commuting operator S for which T = TST and S = STS, that this is the case if and only if such S may be taken to be a multiplier, and that these conditions are also equivalent to the existence of a factorization T = PB,...
Coactions and fell bundles.
Coarse homology theories.
Cocycle condition for multi-pullbacks of algebras
Take finitely many topological spaces and for each pair of these spaces choose a pair of corresponding closed subspaces that are identified by a homeomorphism. We note that this gluing procedure does not guarantee that the building pieces, or the gluings of some pieces, are embedded in the space obtained by putting together all given ingredients. Dually, we show that a certain sufficient condition, called the cocycle condition, is also necessary to guarantee sheaf-like properties of surjective multi-pullbacks...
Cofibrations and bicofibrations for C*-algebras.
Coherent and quasi-free states
Cohomologie de Hochschild des graphes de Kontsevich
Nous calculons la cohomologie de Hochschild directement sur les graphes de Kontsevich. Celle-ci est localisée sur les graphes totalement antisymétriques ayant autant de pieds que de pattes. La considération de cette cohomologie permet de réinterpréter l’équation de formalité pour l’espace .
Cohomologie d'une W*-algèbre.
Cohomology cyclique des products croisés tordus.
Cohomology of operator algebras. III : reduction to normal cohomology
Commutants of Nest Algebras Modulo the Compact Operators.
Commutants of unbounded derivations in C*-algebras.
Commutants of unitaries in UHF algebras and functorial properties of exactness.
Commutants of von Neumann correspondences and duality of Eilenberg-Watts theorems by Rieffel and by Blecher
The category of von Neumann correspondences from 𝓑 to 𝓒 (or von Neumann 𝓑-𝓒-modules) is dual to the category of von Neumann correspondences from 𝓒' to 𝓑' via a functor that generalizes naturally the functor that sends a von Neumann algebra to its commutant and back. We show that under this duality, called commutant, Rieffel's Eilenberg-Watts theorem (on functors between the categories of representations of two von Neumann algebras) switches into Blecher's Eilenberg-Watts theorem (on functors...