Christensen and Evans showed that, in the language of Hilbert modules, a bounded
derivation on a von Neumann algebra with values in a two-sided von Neumann module (ie a …

The problem of classifying semigroups of endomorphisms of type [italic] I [subscript] infinity
symbol factors to outer conjugacy is reduced to the problem of classifying certain simpler …

We review some of our results from the theory of product systems of Hilbert modules. We
explain that the product systems obtained from a CP-semigroup in a paper by Bhat and …

We show that there is a natural generalization of the notion of a Hilbert C*-module (also
called “Hilbert module,”“inner product module,”“rigged module,” and sometimes “Hermitian …

A theory of positive definite kernels in the context of Hilbert C*-modules is presented.
Applications are given, including a representation of a Hilbert C*-module as a concrete …

THE OPERATOR HILBERT SPACE OH AND TYPE III VON NEUMANN ALGEBRAS Page 1 Bull.
London Math. Soc. 36 (2004) 455–459 Cо2004 London Mathematical Society DOI …

We give an explicit formula for all continuous units for the product system associated with an
arbitrary time-ordered Fock module over a two-sided Hilbert ℬ-module. Like in the case of …

In this paper we introduce a strong version of the Birkhoff--James orthogonality in Hilbert $
C^* $-modules. More precisely, we consider elements $ x $ and $ y $ of a Hilbert $ C …

We propose a generalization of Exel's crossed product by a single endomorphism and a
transfer operator to the case of actions of abelian semigroups of endomorphisms and …

In 1975 A. Connes proved the fundamental result that injective factors on a separable Hilbert
space are hyperfinite. In this paper a new proof of this result is presented in which the most …