On Frustration-Free Quantum Spin Models

Published 3 Jul 2025 in math-ph, math.MP, and math.OA | (2507.03201v1)

Abstract: The goal of our work is to map the landscape of the frustration-free quantum spin models over the Cayley graph of a finitely generated group. This is achieved by establishing equivariant connections with the spaces of hereditary C*-algebras of the underlying quasi-local algebra of observables, and of open projections of its double dual.

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