A topological isomorphism invariant for certain 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 order-preserving automorphisms of the corr...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1665 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |