A note on effect algebras and dimension theory of AF C\(^*\)-algebras

DOI10.1016/S0034-4877(08)80026-2zbMath1165.81011OpenAlexW2040608653MaRDI QIDQ1005540

Anna Jenčová, Sylvia Pulmannová

Publication date: 9 March 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(08)80026-2

zbMATH Keywords

effect algebraRiesz decomposition propertyC*-algebradimension group\(K_0\)-group

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Ordered groups (06F15) Abelian groups (20K99)

Related Items (2)

AF inverse monoids and the structure of countable MV-algebras ⋮ Tensor product of dimension effect algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Sum logics and sums of unbounded observables
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Interval and scale effect algebras
• Direct limits of effect algebras
• Quotients of partial abelian monoids and the Riesz decomposition property.
• Difference posets and the histories approach to quantum theories
• Lattice-ordered groups
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• Dimension Groups and Their Affine Representations
• An Orthomodular Lattice Admitting No Group-Valued Measure
• An Algebraic Approach to Quantum Field Theory
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• Free Sums of Groups and Their Generalizations. An Analysis of the Associative Law
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