Approximately finite-dimensional C*-algebra

id: approximately-finite-dimensional-c-algebra-241-8268406
title: Approximately finite-dimensional C*-algebra
text: In mathematics, an approximately finite-dimensional (AF) C*-algebra is a C*-algebra that is the inductive limit of a sequence of finite-dimensional C*-algebras. Approximate finite-dimensionality was first defined and described combinatorially by Ola Bratteli. Later, George A. Elliott gave a complete classification of AF algebras using the K0 functor whose range consists of ordered abelian groups with sufficiently nice order structure. The classification theorem for AF-algebras serves as a protot
brand slug: wiki
category slug: encyclopedia
description: C*-algebra
original url: https://en.wikipedia.org/wiki/Approximately_finite-dimensional_C*-algebra
date created:
date modified: 2024-03-06T21:06:28Z
main entity: {"identifier":"Q291562","url":"https://www.wikidata.org/entity/Q291562"}
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fields total: 13
integrity: 14

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