Asymptotic Abelianness and Braided Tensor C*-Categories

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

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