Add to ORKGWe consider the Boolean version of Voiculescu's extension from free probability to bi-free probability and introduce the notion of bi-Boolean independence for non-unital pairs of algebras. We show that both the combinatorial and the analytic aspects of bi-free probability have immediate analogues with respect to this new notion of independence and discuss how to extend it further to the operator-valued setting. (Joint work with Paul Skoufranis.)Non UBCUnreviewedAuthor affiliation: Queen's UniversityGraduat
Many kinds of independence have been defined in non-commutative probability theory. Natural independ...
This dissertation introduces a generalization of the cardinal invariant independence for Boolean alg...
Abstract: We consider a tracial state ϕ on a von Neumann algebra A and assume that projections P, Q ...
We consider the Boolean version of Voiculescu's extension from free probability to bi-free probabili...
In this talk, we will provide an overview of the structures and constructions developed to study bi-...
In this talk, we will provide an overview of the structures and constructions developed to study bi-...
Free probability is a non-commutative analogue of probability theory. Recently, Voiculescu has intro...
In this paper, we develop the notion of free-Boolean independence in an amalgamated setting. We cons...
Bi-free probability is a generalization of free probability to study pairs of left and right faces i...
Bi-free probability is a generalization of free probability to study pairs of left and right faces i...
We give a definition of some classes of boolean algebras generalizing free boolean algebras; they sa...
In classical probability there are known many characterization of probability measures by independen...
In classical probability there are known many characterization of probability measures by independen...
summary:We make use of a forcing technique for extending Boolean algebras. The same type of forcing ...
summary:We make use of a forcing technique for extending Boolean algebras. The same type of forcing ...
Many kinds of independence have been defined in non-commutative probability theory. Natural independ...
This dissertation introduces a generalization of the cardinal invariant independence for Boolean alg...
Abstract: We consider a tracial state ϕ on a von Neumann algebra A and assume that projections P, Q ...
We consider the Boolean version of Voiculescu's extension from free probability to bi-free probabili...
In this talk, we will provide an overview of the structures and constructions developed to study bi-...
In this talk, we will provide an overview of the structures and constructions developed to study bi-...
Free probability is a non-commutative analogue of probability theory. Recently, Voiculescu has intro...
In this paper, we develop the notion of free-Boolean independence in an amalgamated setting. We cons...
Bi-free probability is a generalization of free probability to study pairs of left and right faces i...
Bi-free probability is a generalization of free probability to study pairs of left and right faces i...
We give a definition of some classes of boolean algebras generalizing free boolean algebras; they sa...
In classical probability there are known many characterization of probability measures by independen...
In classical probability there are known many characterization of probability measures by independen...
summary:We make use of a forcing technique for extending Boolean algebras. The same type of forcing ...
summary:We make use of a forcing technique for extending Boolean algebras. The same type of forcing ...
Many kinds of independence have been defined in non-commutative probability theory. Natural independ...
This dissertation introduces a generalization of the cardinal invariant independence for Boolean alg...
Abstract: We consider a tracial state ϕ on a von Neumann algebra A and assume that projections P, Q ...