Locally semisimple algebras. Combinatorial theory and the \(K_ 0\)- functor
type: Item
instance of: scholarly article
title: Locally semisimple algebras. Combinatorial theory and the \(K_ 0\)- functor
zbMATH Open document ID: 0623.46036
DOI: 10.1007/BF01088200
published in: Journal of Soviet Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 26, 3-56 (Russian) (1985; Zbl 0613.46059).
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 46M20
Mathematics Subject Classification ID: 46L35
zbMATH DE Number: 4011220
zbMATH Keywords: locally semisimple
zbMATH Keywords: group algebras
zbMATH Keywords: approximately dynamical systems
zbMATH Keywords: Markov chains
zbMATH Keywords: LS-algebras
zbMATH Keywords: classification
zbMATH Keywords: inductive systems
zbMATH Keywords: multiplicity function
zbMATH Keywords: bifurcation graph
zbMATH Keywords: Bratteli's diagramm
zbMATH Keywords: AF- algebras
zbMATH Keywords: Choquet simplex of central measures
zbMATH Keywords: quasi-invariant ergodic measure
zbMATH Keywords: indecomposable cohomology cocycle
zbMATH Keywords: K-theory of locally semisimple algebras
zbMATH Keywords: Handelman-Effros-Shen's axiomatic description of ordered groups isomorphic to the Grothendieck groups of LS-algebras
zbMATH Keywords: Riesz groups
zbMATH Keywords: Grothendieck K(sub O)-groups
zbMATH Keywords: projective modules
zbMATH Keywords: ideals and traces of AF-algebras
author: A. M. Vershik
author: S. V. Kerov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01088200

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