Braided monoidal structures on C1-cofinite V-modules extend uniquely and naturally to their filtered colimit completions within generalized V-modules.
Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra
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abstract
This is the eighth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part VIII), we construct the braided tensor category structure, using the previously developed results.
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Cocompletions for non-abelian vertex tensor categories
Braided monoidal structures on C1-cofinite V-modules extend uniquely and naturally to their filtered colimit completions within generalized V-modules.