From Specker \(\ell\)-groups to Boolean algebras via \(\Gamma\)
Publication date: 19 August 2024
Published in: Theory and Applications of Categories (Search for Journal in Brave)
Boolean algebraMV-algebraGelfand dualitysingular element\(\ell\)-groupspectral spaceAF-algebracategorical equivalence \(\Gamma\)Grothendieck \(K_0\)Specker \(\ell\)-group
(K)-theory and operator algebras (including cyclic theory) (46L80) MV-algebras (06D35) Structure theory of Boolean algebras (06E05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Limit algebras, subalgebras of (C^*)-algebras (47L40) Categories of topological spaces and continuous mappings (18F60) Frames and locales, pointfree topology, Stone duality (18F70)
Cites Work
- Advanced Łukasiewicz calculus and MV-algebras
- Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
- A generalisation of Gel'fand duality
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Present trends in pure mathematics
- Word problems in Elliott monoids
- Algebraic foundations of many-valued reasoning
- Structure spaces of approximately finite-dimensional C\(^*\)-algebras
- Idempotent generated algebras and Boolean powers of commutative rings
- Algebraic Analysis of Many Valued Logics
- Lattice-Ordered Groups Whose Lattices Determine Their Additions
- Epi-archimedean groups
- Torsion classes of Specker lattice ordered groups
- Independence of the axiomatic system for MV-algebras
- Inductive Limits of Finite Dimensional C ∗ -Algebras
- \(C^*\)-algebras by example
- Algebraic Techniques and Their Use in Describing and Processing Uncertainty
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: From Specker \(\ell\)-groups to Boolean algebras via \(\Gamma\)
