1.4k citations · 1.5k across the 16 of their papers we have counts for
17 papers
New Light on Infrared Problems: Sectors, Statistics, Symmetries and Spectrum
Detlev Buchholz, John E. Roberts
A new approach to the analysis of the physical state space of a theory is presented within the general setting of local quantum physics. It also covers theories with long range for…
A rigidity result for extensions of braided tensor C*-categories derived from compact matrix quantum groups
Claudia Pinzari, John E. Roberts
Let G be a classical compact Lie group and G_μthe associated compact matrix quantum group deformed by a positive parameter μ(or a nonzero and real μin the type A case). It is well…
A theory of induction and classification of tensor C*-categories
Claudia Pinzari, John E. Roberts
This paper addresses the problem of describing the structure of tensor C*-categories M with conjugates and irreducible tensor unit. No assumption on the existence of a braided symm…
Ergodic actions of compact quantum groups from solutions of the conjugate equations
Claudia Pinzari, John E. Roberts
We use a tensor C*-category with conjugates and two quasitensor functors into the category of Hilbert spaces to define a *-algebra depending functorially on this data. If one of th…
Ergodic actions of S_μU(2) on C*-algebras from II_1 subfactors
Claudia Pinzari, John E. Roberts
To a proper inclusion N\subset M of II_1 factors of finite Jones index [M:N], we associate an ergodic C*-action of the quantum group S_μU(2). The deformation parameter is determine…
On the field algebra construction
K. Szlachanyi
A pure algebraic variant of John Roberts' field algebra construction is presented and applied to bialgebroid Galois extensions and certain generalized fusion categories.