This represents a new and more comprehensive approach to the \star-autonomous categories constructed in the monograph [Barr, 1979]. The main tool in the new approach is the Chu construction. The main conclusion is that the category of separated extensional Chu objects for certain kinds of equational categories is equivalent to two usually distinct subcategories of the categories of uniform algebras of those categories.
Keywords: duality, topological algebras, Chu categories.
1991 MSC: 18D10, 43A40, 46A70, 51A10.
Theory and Applications of Categories, Vol. 6, 1999, No. 1, pp 5-24.