A topological isomorphism invariant for certain AF algebras | Zendy

Ryan J. Zerr | Zendy

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A topological isomorphism invariant for certain AF algebras

Author(s) -

Ryan J. Zerr

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.1665

Subject(s) - mathematics , automorphism , invariant (physics) , isomorphism (crystallography) , pure mathematics , automorphism group , graph isomorphism , lebesgue covering dimension , graph , topology (electrical circuits) , discrete mathematics , combinatorics , line graph , hausdorff dimension , chemistry , crystal structure , mathematical physics , crystallography

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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