Characterization of the order relation on the set of completely -positive linear maps between -algebras.
Characterization of the predual and ideal structure of a JBW*-triple.
Characterization of unitary processes with independent and stationary increments
This is a continuation of the earlier work (Publ. Res. Inst. Math. Sci.45 (2009) 745–785) to characterize unitary stationary independent increment gaussian processes. The earlier assumption of uniform continuity is replaced by weak continuity and with technical assumptions on the domain of the generator, unitary equivalence of the process to the solution of an appropriate Hudson–Parthasarathy equation is proved.
Characters of finitely generated C*-algebras
Charged fields, Higgs phenomenon and confinement. Lesson from soluble models
Classification des C*-algèbres purement infinies nucléaires
Classification of C*-algebras admitting ergodic actions of the two-dimensional torus.
Classification of certain infinite simple C*-algebras, II.
Classification of dimension groups and iterating systems.
Classification of holomorphic vector bundles on noncommutative two-tori.
Classification of inductive limits of Cuntz algebras.
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.