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Unitary R-Matrices: Representations of Deformations of the Braid Group Arising From The BMW Algebra And Racks

Lead Research Organisation: CARDIFF UNIVERSITY
Department Name: Sch of Mathematics

Abstract

The research area of this project is an operator-algebraic approach to QFT, modelling physical observables as elements of C*- or von Neumann algebras, symmetries by group actions of such algebras and states by positive linear functionals on them. This formulation makes it possible to use advanced tools such as Tomita-Takesaki theory in a QFT context.

Publications

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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509449/1 30/09/2016 29/09/2021
2380023 Studentship EP/N509449/1 02/01/2020 12/10/2023 Tasarla Deadman
EP/R513003/1 30/09/2018 29/09/2023
2380023 Studentship EP/R513003/1 02/01/2020 12/10/2023 Tasarla Deadman