3 papers
math.QA2025
The braided monoidal structure of tube algebra representations
David Jaklitsch, Makoto Yamashita
We consider the tube algebra of a spherical semisimple multitensor category , and construct a braided monoidal structure with twist for its representations. We further…
math.OA2025
Categorical dualtiy for Yetter-Drinfeld C*-algebras. Beyond the braided-commutative case
Lucas Hataishi, Makoto Yamashita
We develop a tensor categorical duality in the sprit of the Tannaka-Krein duality for the C*-algebras admitting the Yetter-Drinfeld module structure over a compact quantum group. U…
math.QA2025
On the structure of DHR bimodules of abstract spin chains
Lucas Hataishi, David Jaklitsch, Corey Jones +1
Abstract spin chains axiomatize the structure of local observables on the 1D lattice which are invariant under a global symmetry, and arise at the physical boundary of 2+1D topolog…