Ideal perturbations of elements in C*-Algebras.
Ideals and hereditary subalgebras in operator algebras
This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach-algebraic point of view. Namely, we mainly investigate topics concerned with the ideal structure, and hereditary subalgebras (or HSA's, which are in some sense a generalization of ideals). Second, we study properties of operator algebras which are hereditary subalgebras in their bidual, or equivalently which...
Ideals in a C*-Algebra.
Idempotent States and the Inner Linearity Property
We find an analytic formulation of the notion of Hopf image, in terms of the associated idempotent state. More precisely, if π:A → Mₙ(ℂ) is a finite-dimensional representation of a Hopf C*-algebra, we prove that the idempotent state associated to its Hopf image A' must be the convolution Cesàro limit of the linear functional φ = tr ∘ π. We then discuss some consequences of this result, notably to inner linearity questions.
Image d'un homomorphisme et flot des poids d'une relation d'Équivalence mesurée.
Implementation canonique pour les co-actions d'un groupe localement compact et les systèmes dynamiques generalises.
Implementation of Jordan-isomorphisms for general von Neumann algebras
Index computation for amalgamated products of product systems.
Index for Subfactors.
Index pairings for pullbacks of C*-algebras
In this overview, we study how to reduce the index pairing for a fibre-product C*-algebra to the index pairing for the C*-algebra over which the fibre product is taken. As an example we analyze the case of suspensions and apply it to noncommutative instanton bundles of arbitrary charges over the suspension of quantum deformations of the 3-sphere.
Index theory for multivariable Wiener-Hopf operators.
Indextheorie für eine C+-Algebra von Toeplitzoperatoren.
Indice des sous facteurs, algèbres de Hecke et théorie des noeuds
Indice d'esperances conditionnelles et algebres de von Neumann finies.
Indice d'une espérance conditionnelle
Induced and amenable ergodic actions of Lie groups
Induced C*-Algebras and a Symmetric Imprimitivity Theorem.
Induced representations of groupoid crossed products.
Inductive limit algebras from periodic weighted shifts on Fock space.
Inductive limits of interval algebras: unitary orbits of positive elements.