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arxiv: 1012.4154 · v2 · pith:RBWK3SGQnew · submitted 2010-12-19 · 🧮 math.OA · math.CT

Reflective-coreflective equivalence

classification 🧮 math.OA math.CT
keywords equivalenceexamplessubcategoriesactuallycertaincompactcoreflectivecurious
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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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