Algebraic orders on $K_0$ and approximately finite operator algebras

zbMath0797.46049arXivfunct-an/9302002MaRDI QIDQ4281718

Stephen C. Power

Publication date: 7 April 1994

Full work available at URL: https://arxiv.org/abs/funct-an/9302002

zbMATH Keywords

algebraic orderapproximately finite \(C^*\)-algebraordered Bratteli diagramscommutative subspace lattice algebrasself-adjoint subalgebra\(K_ 0\) groupconjugacy propertydirect sums of triangular finite dimensional nest algebrasgeneralization of Elliot's classification of \(AF\) \(C^*\)-algebrasinjective star-extendible regular embeddingsinjective strongly regular star- extendible embeddingsnon-self-adjoint subalgebras of \(AF\) \(C^*\)-algebras with small \(K_ 0\)-groupregular canonical masascaled group isomorphismstar realisation propertystationary pairs of \(AF\) \(C^*\)-algebrasstrong algebraic order

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (10)

Approximately finitely acting operator algebras ⋮ Algebraic isomorphisms of limit algebras ⋮ Homology for operator algebras. IV. On the regular classification of limits of 4-cycle algebras ⋮ On the Banach space isomorphism type of AF \(C^*\)-algebras and their triangular subalgebras ⋮ The Category of Ordered Bratteli Diagrams ⋮ Nonproduct Type Analytic Tuhf Algebras ⋮ Locally constant nonproduct-type cocycles ⋮ Primitive triangular UHF algebras ⋮ Relative positions of matroid algebras ⋮ The uniqueness of AF diagonals in regular limit algebras

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