3 citations · 7 across the 7 of their papers we have counts for
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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…