3 citations · 7 across the 7 of their papers we have counts for
8 papers
Monadic reconstruction of unitary Drinfeld centers and Factorization Homology
Lucas Hataishi
We prove that the unitary Drinfeld center of a unitary tensor category is equivalente to the category of unitary bimodules for the canonical W*-algebra object, generalizing Müger's…
Inclusions of Operator Algebras from Tensor Categories: beyond irreducibility
Lucas Hataishi, Roberto Hernández Palomares
We derive faithful inclusions of C*-algebras from a coend-type construction in unitary tensor categories. This gives rise to different potential notions of discreteness for an incl…
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…
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…
Actions of compact and discrete quantum groups on operator systems
Joeri De Ro, Lucas Hataishi
We introduce the notion of an action of a discrete or compact quantum group on an operator system, and study equivariant operator system injectivity. We then prove a duality result…
C*-Algebraic Factorization Homology and Realization of Cyclic Representations
Lucas Hataishi
We prove cocontinuity of the -tensor product of C*-categories and develop a framework to perform factorization homology in a C*-setting. In such context, we specialize some r…
Injectivity for algebras and categories with quantum symmetry
Lucas Hataishi, Makoto Yamashita
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 m…
Noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of Drinfeld doubles
Erik Habbestad, Lucas Hataishi, Sergey Neshveyev
We clarify the relation between noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of quantum groups. Specifically, given a compact quantum group , we show that…