(Almost) \({C}^\ast\)-algebras as sheaves with self-action

DOI10.4171/JNCG/11-3-9zbMath1386.46043arXiv1512.01669OpenAlexW2186761429MaRDI QIDQ1676080

Cecilia Flori, Tobias Fritz

Publication date: 3 November 2017

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01669

zbMATH Keywords

sheaf theorytopos quantum theoryalgebraic quantum mechanicsaxiomatics of \({C}^\ast\)-algebras

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Categories, functors in functional analysis (46M15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (3)

Effect algebras, presheaves, non-locality and contextuality ⋮ Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras ⋮ Contextuality and noncommutative geometry in quantum mechanics

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