6 papers
Complex Hadamard Matrices - Quantum Symmetries, Equivalence and Non-Local Games
Michael Brannan, Daniel Gromada, Roberto Hernández Palomares +1
We consider quantum group generalizations of the action of monomial matrices on complex Hadamard matrices. This gives rise to various notions of quantum symmetries and quantum equi…
Remarks on C*-discrete inclusions
Roberto Hernández Palomares, Brent Nelson
We obtain a Galois correspondence between the lattice of intermediate C*-discrete subalgebras intermediate to a given irreducible C*-discrete inclusion, and characterize these as t…
Quantum graphs and spin models
Néstor Bravo Hernández, Roberto Hernández Palomares, Fabio Viales SolÃs
We quantize the regularity properties of classical graphs that determine spin models for singly-generated Yang-Baxter planar algebras, including the Kauffman polynomial, and constr…
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…
Discrete inclusions from Cuntz-Pimsner algebras
Roberto Hernández Palomares
We show that the core inclusion arising from a Cuntz-Pimsner algebra generated by a full, faithful and dualizable correspondence is C*-discrete, and express it as a crossed-product…
Discrete Inclusions of C*-algebras
Roberto Hernández Palomares, Brent Nelson
We introduce the category of C*-discrete inclusions of C*-algebras with a faithful conditional expectation . This class includes many examples…