Reflective-coreflective equivalence

Erik Bédos, S. Kaliszewski, and John Quigg

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.

Keywords: adjoint functors, reflective and coreflective subcategories, equivalent categories, $C^*$-algebras, coactions, quantum groups

2000 MSC: Primary 18A40; Secondary 46L55, 46L89

Theory and Applications of Categories, Vol. 25, 2011, No. 6, pp 142-179.

Published 2011-03-10.

Revised 2011-06-08. Original version at

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