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

Abstract

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.

Part VII of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 21 pages. Minor changes