activity
20222026
most citedK-theoretic classification of inductive limit actions of fusion categories on AF-algebras

9 citations · 11 across the 8 of their papers we have counts for

collaborators

8 papers

math.OA2026

Property (SP) and Inclusions of C*-algebras

Alec Gow, Roberto Hernández Palomares

As a generalization of Gabe and Neagu's inclusions of real rank zero, we introduce a notion of Property (SP) for inclusions of C*-algebras. We begin the systematic study of SP-incl…

math.QA2026

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…

math.OA2026

Quantum graphs and spin models

Néstor Bravo Hernández, Roberto Hernández Palomares, Fabio Viales Solís

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…

math.OA2025★ 1 cited

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…

math.OA2025★ 1 cited

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…

math.OA2024

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…

math.OA2023

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…

math.OA2022★ 9 cited

K-theoretic classification of inductive limit actions of fusion categories on AF-algebras

Quan Chen, Roberto Hernández Palomares, Corey Jones

We introduce a K-theoretic invariant for actions of unitary fusion categories on unital C*-algebras. We show that for inductive limits of finite dimensional actions of fusion categ…