In these notes the author presents a complete theory of classification of E_0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial
We obtain existence, uniqueness results for minimal isometric dilations of contractive cocycles of s...
This thesis deals with Markov operators and semigroups. A Markov operator is a positive linear opera...
Unital q-positive maps on M2(C) and cocycle conjugacy of E0-semigroups, Houston J. Math., 39 (2013),...
AbstractWe prove that every strongly commuting pair of CP0-semigroups has a minimal E0-dilation. Thi...
Abstract. We construct a family of essential representations of an arbitrary product system by gener...
This thesis is dedicated to developing a dilation theory for semigroups of completely positive maps....
AbstractGiven a W∗-continuous semigroup φ of unital, normal, completely positive maps of B(H), we in...
This is the updated version of a preprint from September 2008. It presents, for the first time, the ...
AbstractWe show that the Markov semigroup obtained by Floricel (2008) in [9] compressing the E0-semi...
Using a dilation theorem of Bhat, Powers has shown that every non-trivial spatial E0-semigroup can b...
This thesis examines convergence infinite products in groups and semigroups. Chapter One formulates ...
AbstractAn e-variety is a class of regular semigroups that is closed under the formation of direct p...
We investigate ergodic properties of Markov semigroups in von Neumann algebras with the help of the ...
We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups a...
AbstractWe construct a family of essential representations of an arbitrary product system by general...
We obtain existence, uniqueness results for minimal isometric dilations of contractive cocycles of s...
This thesis deals with Markov operators and semigroups. A Markov operator is a positive linear opera...
Unital q-positive maps on M2(C) and cocycle conjugacy of E0-semigroups, Houston J. Math., 39 (2013),...
AbstractWe prove that every strongly commuting pair of CP0-semigroups has a minimal E0-dilation. Thi...
Abstract. We construct a family of essential representations of an arbitrary product system by gener...
This thesis is dedicated to developing a dilation theory for semigroups of completely positive maps....
AbstractGiven a W∗-continuous semigroup φ of unital, normal, completely positive maps of B(H), we in...
This is the updated version of a preprint from September 2008. It presents, for the first time, the ...
AbstractWe show that the Markov semigroup obtained by Floricel (2008) in [9] compressing the E0-semi...
Using a dilation theorem of Bhat, Powers has shown that every non-trivial spatial E0-semigroup can b...
This thesis examines convergence infinite products in groups and semigroups. Chapter One formulates ...
AbstractAn e-variety is a class of regular semigroups that is closed under the formation of direct p...
We investigate ergodic properties of Markov semigroups in von Neumann algebras with the help of the ...
We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups a...
AbstractWe construct a family of essential representations of an arbitrary product system by general...
We obtain existence, uniqueness results for minimal isometric dilations of contractive cocycles of s...
This thesis deals with Markov operators and semigroups. A Markov operator is a positive linear opera...
Unital q-positive maps on M2(C) and cocycle conjugacy of E0-semigroups, Houston J. Math., 39 (2013),...