Invariant states for positive operator semigroups
Invariant States of von Neumann Algebras.
Invariant subspaces for operators in a general II1-factor
Let ℳ be a von Neumann factor of type II1 with a normalized trace τ. In 1983 L. G. Brown showed that to every operator T∈ℳ one can in a natural way associate a spectral distribution measure μ T (now called the Brown measure of T), which is a probability measure in ℂ with support in the spectrum σ(T) of T. In this paper it is shown that for every T∈ℳ and every Borel set B in ℂ, there is a unique closed T-invariant subspace affiliated with ℳ, such that the Brown measure of is concentrated on B...
Invariant Subspaces of Compact Elements in C*-Algebras.
Invariant Weights on Semi-Finite von Neumann Algebras.
Invariante Spuren auf Gruppenalgebren.
Invariants of the half-liberated orthogonal group
The half-liberated orthogonal group appears as intermediate quantum group between the orthogonal group , and its free version . We discuss here its basic algebraic properties, and we classify its irreducible representations. The classification of representations is done by using a certain twisting-type relation between and , a non abelian discrete group playing the role of weight lattice, and a number of methods inspired from the theory of Lie algebras. We use these results for showing that...
Invarianz gewisser Operatorenklassen unter nichtkommutativen ergodischen Mitteln.
Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse
We study the subset in a unital C*-algebra composed of elements a such that is invertible, where denotes the Moore-Penrose inverse of a. A distinguished subset of this set is also investigated. Furthermore we study sequences of elements belonging to the aforementioned subsets.
Invertibility-preserving maps of -algebras with real rank zero.
Invitation à la théorie des algèbres stellaires
Irreducible subfactors from some symmetric graphs.
Isometries between C*-algebras
Isometries between groups of invertible elements in C*-algebras
We describe all surjective isometries between open subgroups of the groups of invertible elements in unital C*-algebras. As a consequence the two C*-algebras are Jordan *-isomorphic if and only if the groups of invertible elements in those C*-algebras are isometric as metric spaces.
Isometries of Banach Algebras Satisfying the von Neumann Inequality.
Isometries of Non-Commutative Lorentz Spaces.
Isometries of the unitary groups in C*-algebras
We give a complete description of the structure of surjective isometries between the unitary groups of unital C*-algebras. While any surjective isometry between the unitary groups of von Neumann algebras can be extended to a real-linear Jordan *-isomorphism between the relevant von Neumann algebras, this is not the case for general unital C*-algebras. We show that the unitary groups of two C*-algebras are isomorphic as metric groups if and only if the C*-algebras are isomorphic in the sense that...
Isomorphic groupoid -algebras associated with different Haar systems.
Isomorphism Between the Associative and Non-Associative Lp-Spaces of Type II1 Hyperfinite Factors.
Isomorphisms and derivations in Lie -algebras.