Weak Hopf algebra symmetries of C*-algebra inclusions
K. Szlachanyi
Abstract
After a summary on module algebra actions of C*-weak Hopf algebras we outline the proof of a reconstruction theorem stating that every finite index depth 2 inclusion N < M of unital C*-algebras with finite dimensional centers is isomorphic to the invariant subalgebra inclusion MA < M with respect to a regular weak Hopf algebra action. The proof uses the language of C*-2-categories.
Create a lesson
Related papers
An Explicit Construction of Commuting Quantum KdV Hamiltonians in the Universal Virasoro Vertex Algebra
Hongbo Zhao
Vertex Operator Algebras in Lean: a formal library and its companion book
Fedor K. Popov, Leonardo Rastelli
Uniform localization and boundary corrections for two-node quiver Coulomb branches
Xiaomin Tang
Property F and weak integrality of braided fusion categories
Enyu Li, Yuze Ruan
From the quantum group Uq1/2( sl2 ) to the Kronecker quantum cluster algebra
Junyuan Huang, Xueqing Chen, Ming Ding et al.
C2-Cofiniteness of Permutation Orbifolds I: Relative C1 Descent
Yuhan Gu, Jiancai Sun