[PDF][PDF] A topological isomorphism invariant for certain AF algebras
RJ Zerr - … Journal of Mathematics and Mathematical Sciences, 2005 - kurims.kyoto-u.ac.jp
RJ Zerr
International Journal of Mathematics and Mathematical Sciences, 2005•kurims.kyoto-u.ac.jpFor 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 orderpreserving
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.
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 orderpreserving
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.
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 orderpreserving 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.
kurims.kyoto-u.ac.jp
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