Classification of the direct limits of involution simple associative algebras and the corresponding dimension groups.

DOI10.1016/j.jalgebra.2013.02.004zbMath1302.16037arXiv1208.4087OpenAlexW1979892167MaRDI QIDQ375192

A. A. Baranov

Publication date: 28 October 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4087

zbMATH Keywords

Bratteli diagramsdimension groupsdirect limitsinvolution simple algebraslocally finite dimensional algebraslocally semisimple algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Grothendieck groups, (K)-theory, etc. (16E20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items

Abelian Non Jordan-Lie Inner Ideals of the Orthogonal Finite Dimensional Lie Algebras, Ideals of general linear Lie algebras of infinite-dimensional vector spaces, Jordan algebras at Jordan elements of semiprime rings with involution, Automorphisms and derivations of algebras of infinite matrices, \(K\)-theory classification of graded ultramatricial algebras with involution, Simple, locally finite dimensional Lie algebras in positive characteristic, Locally standard measure algebras, Unital locally matrix algebras and Steinitz numbers, Spectra of locally matrix algebras, Morita equivalent unital locally matrix algebras

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