and operator algebras.
Half-liberated real spheres and their subspaces
We describe the quantum subspaces of Banica-Goswami's half-liberated real spheres, showing in particular that there is a bijection between the symmetric ones and the conjugation stable closed subspaces of the complex projective spaces.
Hall's transformation via quantum stochastic calculus
It is well known that Hall's transformation factorizes into a composition of two isometric maps to and from a certain completion of the dual of the universal enveloping algebra of the Lie algebra of the initial Lie group. In this paper this fact will be demonstrated by exhibiting each of the maps in turn as the composition of two isometries. For the first map we use classical stochastic calculus, and in particular a stochastic analogue of the Dyson perturbation expansion. For the second map we make...
Harmonic analysis and unitary group representations : the development from 1927 to 1950
Harmonic analysis of Abelian inner automorphism groups of von Neumann algebras.
Hecke algebras of type An and subfactors.
Heisenberg's picture and non commutative geometry of the semi classical limit in quantum mechanics
Higher index theorems and the boundary map in cyclic cohomology.
Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras.
Higher rank graph -algebras.
Hilbert C*-modules from group actions: beyond the finite orbits case
Continuous actions of topological groups on compact Hausdorff spaces X are investigated which induce almost periodic functions in the corresponding commutative C*-algebra. The unique invariant mean on the group resulting from averaging allows one to derive a C*-valued inner product and a Hilbert C*-module which serve as an environment to describe characteristics of the group action. For Lyapunov stable actions the derived invariant mean is continuous on X for any ϕ ∈ C(X), and the induced C*-valued...
Hilbert modules and tensor products of operator spaces
The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product is extended to the context of Hilbert modules over commutative von Neumann algebras. Each bounded module homomorphism b between Hilbert modules over a general C*-algebra is shown to be completely bounded with . The so called projective operator tensor product of two operator modules X and Y over an abelian von Neumann algebra C is introduced...
Hilbert Modules And Their Representation.
Hölder's inequality for roots of symmetric operator spaces
We prove a version of Hölder's inequality with a constant for pth roots of symmetric operator spaces of operators affiliated to a semifinite von Neumann algebra factor, and with constant equal to 1 for strongly symmetric operator spaces.
Holomorphic curvature of infinite dimensional symmetric complex Banach manifolds of compact type.
Holomorphic isometries of Cartan domains of type one
Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.
Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...
Homology for operator algebras. III: Partial isometry homotopy and triangular algebras.
Homomorphisms and derivations in -algebras.
Homomorphisms between -algebras and their stabilities.