3 citations · 4 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…