Injectivity for algebras and categories with quantum symmetry
Studia Mathematica
MSC: Primary 18Mxx; Secondary 46L67, 46Lxx
DOI: 10.4064/sm250505-27-2
Published online: 3 July 2026
Abstract
We establish the existence of injective envelopes for unital Yetter–Drinfeld C$^*$-algebras, and a related class of bimodule categories over rigid C$^*$-tensor categories. This implies monoidal invariance for boundary actions of Drinfeld doubles of compact quantum groups.
