Classification of ring and 𝐶*-algebra direct limits of finite-dimensional semisimple real algebras

DOI10.1090/memo/0372zbMath0629.46053OpenAlexW4230377564MaRDI QIDQ3766326

Kenneth R. Goodearl, David E. Handelman

Publication date: 1987

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0372

zbMATH Keywords

arbitrary fieldclassifying inductive limits of sequences of semisimple finite- dimensional algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) (K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35) Homological dimension in associative algebras (16E10)

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Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras ⋮ Simplicial and dimension groups with group action and their realization ⋮ Homology for operator algebras. IV. On the regular classification of limits of 4-cycle algebras ⋮ Unnamed Item ⋮ \(K\)-theory classification of graded ultramatricial algebras with involution ⋮ Classification of real approximate interval \(C^\ast\)-algebras ⋮ Isomorphism and Morita equivalence of graph algebras ⋮ Antisymmetries of the CAR algebra ⋮ Regularity of simple nuclear realC*-algebras under tracial conditions ⋮ Isomorphisms and automorphisms of discrete multiplier Hopf \(C^*\)-algebras

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