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

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