Centrally ergodic one-parameter automorphism groups on semifinite injective von Neumann algebras.
Chain rules for canonical state extensions on von Neumann algebras
In previous papers we introduced and studied the extension of a state defined on a von Neumann subalgebra to the whole of the von Neumann algebra with respect to a given state. This was done by using the standard form of von Neumann algebras. In the case of the existence of a norm one projection from the algebra to the subalgebra preserving the given state our construction is simply equivalent to taking the composition with the norm one projection. In this paper we study couples of von Neumann subalgebras...
Chaotic decompositions in -graded quantum stochastic calculus
A brief introduction to -graded quantum stochastic calculus is given. By inducing a superalgebraic structure on the space of iterated integrals and using the heuristic classical relation df(Λ) = f(Λ + dΛ) - f(Λ) we provide an explicit formula for chaotic expansions of polynomials of the integrator processes of -graded quantum stochastic calculus.
Character formula for wreath products of compact groups with the infinite symmetric group
Let be the wreath product of a compact group T with the infinite symmetric group . We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.
Character theory of infinite wreath products.
Characterisation of matrix-ordered standard forms of W*-algebras.
Characterising weakly almost periodic functionals on the measure algebra
Let G be a locally compact group, and consider the weakly almost periodic functionals on M(G), the measure algebra of G, denoted by WAP(M(G)). This is a C*-subalgebra of the commutative C*-algebra M(G)*, and so has character space, say . In this paper, we investigate properties of . We present a short proof that can naturally be turned into a semigroup whose product is separately continuous; at the Banach algebra level, this product is simply the natural one induced by the Arens products. This...
Characterization of L...(M) for injective W*-algebras M.
Characterization of strict C*-algebras
A Banach algebra A is called strict if the product morphism is continuous with respect to the weak norm in A ⊗ A. The following result is proved: A C*-algebra is strict if and only if all its irreducible representations are finite-dimensional and their dimensions are bounded.
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.