On certain properties of the relative entropy of states of operator algebras.
On quantum extensions of the Azéma martingale semi-group
On Segal's postulates for general quantum mechanics
On the problem of classifying simple compact quantum groups
We review the notion of simple compact quantum groups and examples, and discuss the problem of construction and classification of simple compact quantum groups.
On the problem of defining a specific theory within the frame of local quantum physics
On the relationship between the reversibility of dynamics and balance conditions
On the use of modular groups in quantum field theory
On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set
Two different models for a Hopf-von Neumann algebra of bounded functions on the quantum semigroup of all (quantum) permutations of infinitely many elements are proposed, one based on projective limits of enveloping von Neumann algebras related to finite quantum permutation groups, and the second on a universal property with respect to infinite magic unitaries.
Operator algebras associated with polymorphisms.
Orthogonal Forms and Probability in von Neumann Algebras.