6 citations · 9 across the 12 of their papers we have counts for
13 papers
Representations of conformal nets associated with infinite-dimensional groups
Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
We study the relation between representations of certain infinite-dimensional Lie groups and those of the associated conformal nets. For a chiral conformal net extending the net ge…
Rational and non-rational two-dimensional conformal field theories arising from lattices
Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
For a (finite-dimensional) real Hilbert space and an orthogonal projection , we consider the associated Heisenberg Lie algebra and the two-dimensional Heisenberg c…
Osterwalder-Schrader axioms for unitary full vertex operator algebras
Maria Stella Adamo, Yuto Moriwaki, Yoh Tanimoto
Full Vertex Operator Algebras (full VOA) are extensions of two commuting Vertex Operator Algebras, introduced to formulate compact two-dimensional conformal field theory. We define…
Reflection positivity and its relation to disc, half plane and the strip
Maria Stella Adamo, Karl-Hermann Neeb, Jonas Schober
We develop a novel perspective on reflection positivity (RP) on the strip by systematically developing the analogies with the unit disc and the upper half plane in the complex plan…
Wightman fields for two-dimensional conformal field theories with pointed representation category
Maria Stella Adamo, Luca Giorgetti, Yoh Tanimoto
Two-dimensional full conformal field theories have been studied in various mathematical frameworks, from algebraic, operator-algebraic to categorical. In this work, we focus our at…
-algebras associated to homeomorphisms twisted by vector bundles over finite dimensional spaces
Maria Stella Adamo, Dawn E. Archey, Marzieh Forough +4
In this paper we study Cuntz--Pimsner algebras associated to -correspondences over commutative -algebras from the point of view of the -al…
Reflection positivity and Hankel operators -- the multiplicity free case
Maria Stella Adamo, Karl-Hermann Neeb, Jonas Schober
We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their C…
On some applications of representable and continuous functionals of Banach quasi *-algebras
Maria Stella Adamo
This survey aims to highlight some of the consequences that representable (and continuous) functionals have in the framework of Banach quasi *-algebras. In particular, we look at t…
Tensor products of normed and Banach quasi *-algebras
Maria Stella Adamo, Maria Fragoulopoulou
Quasi *-algebras form an essential class of partial *-algebras, which are algebras of unbounded operators. In this work, we aim to construct tensor products of normed, respectively…
About tensor products of Hilbert quasi *-algebras and their representability properties
Maria Stella Adamo
This note aims to investigate the tensor product of two given Hilbert quasi *-algebras and its properties. The construction proposed in this note turns out to be again a Hilbert qu…
The interplay between representable functionals and derivations on Banach quasi *-algebras
Maria Stella Adamo
This note aims to highlight the link between representable functionals and derivations on a Banach quasi *-algebra, i.e. a mathematical structure that can be seen as the completion…
Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras
Maria Stella Adamo, Camillo Trapani
This paper is devoted to the study of unbounded derivations on Banach quasi *-algebras with a particular emphasis to the case when they are infinitesimal generators of one paramete…
Representable and continuous functionals on Banach quasi *-algebras
Maria Stella Adamo, Camillo Trapani
In the study of locally convex quasi *-algebras an important role is played by representable linear functionals; i.e., functionals which allow a GNS-construction. This paper is mai…