English

Asymptotic Abelianness and Braided Tensor C*-Categories

Mathematical Physics 2007-05-23 v3 math.MP

Abstract

By introducing the concepts of asymptopia and bi-asymptopia, we show how braided tensor C*-categories arise in a natural way. This generalizes constructions in algebraic quantum field theory by replacing local commutativity by suitable forms of asymptotic Abelianness.

Cite

@article{arxiv.math-ph/0209038,
  title  = {Asymptotic Abelianness and Braided Tensor C*-Categories},
  author = {Detlev Buchholz and Sergio Doplicher and Giovanni Morchio and John E. Roberts and Franco Strocchi},
  journal= {arXiv preprint arXiv:math-ph/0209038},
  year   = {2007}
}

Comments

20 pages, no figures. Final version, as to appear in "Rigorous Quantum Field Theory", Progress in Mathematics, Volume 251