On the uniqueness of invariant states
Operator Algebras
2022-02-24 v2 Mathematical Physics
Group Theory
math.MP
Quantum Algebra
Abstract
Given an abelian group G endowed with a T-pre-symplectic form, we assign to it a symplectic twisted group *-algebra W_G and then we provide criteria for the uniqueness of states invariant under the ergodic action of the symplectic group of automorphism. As an application, we discuss the notion of natural states in quantum abelian Chern-Simons theory.
Keywords
Cite
@article{arxiv.1906.09766,
title = {On the uniqueness of invariant states},
author = {Federico Bambozzi and Simone Murro},
journal= {arXiv preprint arXiv:1906.09766},
year = {2022}
}
Comments
29 pages -- accepted in Advances in Mathematics