A note on effect algebras and dimension theory of AF C\(^*\)-algebras
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Publication:1005540
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
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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