English

Reflective-coreflective equivalence

Operator Algebras 2011-03-08 v2 Category Theory

Abstract

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

Cite

@article{arxiv.1012.4154,
  title  = {Reflective-coreflective equivalence},
  author = {Erik Bédos and S. Kaliszewski and John Quigg},
  journal= {arXiv preprint arXiv:1012.4154},
  year   = {2011}
}

Comments

The major change is a new section on composite adjoint equivalence

R2 v1 2026-06-21T17:01:09.244Z