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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

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7 papers · 1 filter

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.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…