Noncommutative Lattices and the Algebras of Their Continuous Functions

DOI10.1142/S0129055X98000148zbMath0919.46051arXivq-alg/9607016MaRDI QIDQ4221340

Elisa Ercolessi, Paulo Teotonio-Sobrinho, Giovanni Landi

Publication date: 14 March 1999

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9607016

zbMATH Keywords

posetspartially ordered setsnoncommutative spacesquantum physicsnoncommutative latticesnoncommutative \(C^*\)-algebrasapproximation to continuum topological spacespostliminal approximately finite-dimensional (AF) algebras

Mathematics Subject Classification ID

Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

• Finarity substitute for continuous topology
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Structure spaces of approximately finite-dimensional C*-algebras. II
• Connes' noncommutative differential geometry and the standard model
• Structure spaces of approximately finite-dimensional C\(^*\)-algebras
• C\(^*\)-algebras with finite duals

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