Commutants of unbounded derivations in C*-algebras.
Commutators and generators.
Completely multi-positive linear maps between locally C*-algebras and representations on Hilbert modules
A KSGNS (Kasparov, Stinespring, Gel'fand, Naimark, Segal) type construction for strict (respectively, covariant non-degenerate) completely multi-positive linear maps between locally C*-algebras is described.
Coverings of foliations anf associated C*-algebras.
Decomposition of unbounded derivations into invariant and approximately inner parts.
Derivations, dynamical systems, and spectral restrictions.
Endomorphisms of the Cuntz algebras
This mainly expository article is devoted to recent advances in the study of dynamical aspects of the Cuntz algebras 𝓞ₙ, n < ∞, via their automorphisms and, more generally, endomorphisms. A combinatorial description of permutative automorphisms of 𝓞ₙ in terms of labelled, rooted trees is presented. This in turn gives rise to an algebraic characterization of the restricted Weyl group of 𝓞ₙ. It is shown how this group is related to certain classical dynamical systems on the Cantor set. An identification...
Entropy for a pair of subalgebras via automorphisms.
Ergodic Actions by Compact Groups on C*-Algebras.
Erratum to "Tracial states on crossed products associated with Furstenberg transformations on the 2-torus" (Studia Math. 115 (1995), 183-187)
Explicit computations of all finite index bimodules for a family of II factors
We study II factors and associated with good generalized Bernoulli actions of groups having an infinite almost normal subgroup with the relative property (T). We prove the following rigidity result : every finite index --bimodule (in particular, every isomorphism between and ) is described by a commensurability of the groups involved and a commensurability of their actions. The fusion algebra of finite index --bimodules is identified with an extended Hecke fusion algebra, providing the...
Finiteness of von Neumann algebras relative to a group of automorphisms.
Groups of isometries on operator algebras
Holomorphic isometries of Cartan domains of type one
Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.
Index for Subfactors.
Infinite tensor products of upper triangular matrix algebras.
Inner automorphisms of hyperfinite factors and Bogoliubov transformations
Krein-space operators determined by free product algebras induced by primes and graphs
In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number-theoretic data.
Locally inner derivations of standard operator algebras
It is proved that every locally inner derivation on a symmetric norm ideal of operators is an inner derivation.
Mappings preserving zero products
Let θ : ℳ → 𝓝 be a zero-product preserving linear map between algebras. We show that under some mild conditions θ is a product of a central element and an algebra homomorphism. Our result applies to matrix algebras, standard operator algebras, C*-algebras and W*-algebras.