  We show that a large class of symmetry enriched (topological) phases of
matter in 2+1 dimensions can be embedded in "larger" topological phases- phases
describable by larger hidden Hopf symmetries. Such an embedding is analogous to
anyon condensation, although no physical condensation actually occurs. This
generalizes the Landau-Ginzburg paradigm of symmetry breaking from continuous
groups to quantum groups- in fact algebras- and offers a potential
classification of the symmetry enriched (topological) phases thus obtained,
including symmetry protected trivial phases as well, in a unified framework.
