Reflective-coreflective equivalence

Mathematics – Operator Algebras

Scientific paper

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The major change is a new section on composite adjoint equivalence

Scientific paper

We explore a curious type of equivalence between certain pairs of reflective
and coreflective subcategories. We illustrate with examples involving
noncommutative duality for C*-dynamical systems and compact quantum groups, as
well as examples where the subcategories are actually isomorphic.

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