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A topological isomorphism invariant for certain AF algebras

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  • Ryan J. Zerr

Abstract

For certain AF algebras, a topological space is described which provides an isomorphism invariant for the algebras in this class. These AF algebras can be described in graphical terms by virtue of the existence of a certain type of Bratteli diagram, and the order-preserving automorphisms of the corresponding AF algebra's dimension group are then studied by utilizing this graph. This will also provide information about the automorphism groups of the corresponding AF algebras.

Suggested Citation

  • Ryan J. Zerr, 2005. "A topological isomorphism invariant for certain AF algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:150725
    DOI: 10.1155/IJMMS.2005.1665
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