The Duality of Compact Semigroups and C*-Bigebras

Inhalt
Definition of duality.- Multiplicative categories.- Algebras over a category with multiplication.- Cogebras over a category with multiplication.- Bigebras.- C-algebras.- A multiplication for the category C.- The confunctor spec for commutative C-algebras.- Finite coproducts of commutative C-algebras with identity.- C-Cogebras.- The duality of compact semigroups.- Involutive bigebras and their relation to C-bigebras.- Dualities for compact groups.- Dualities for totally disconnected compact semigroups.- Discrete involutive semigroups and duality.