Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

Mathematics – Quantum Algebra

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Part VII of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 20 p

Scientific paper

This is the seventh 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 VII), we give
sufficient conditions for the existence of the associativity isomorphisms.

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