International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 11, Pages 1665-1673
doi:10.1155/IJMMS.2005.1665
A topological isomorphism invariant for certain af algebras
Ryan J. Zerr
Department of Mathematics, College of Arts and Sciences, University of North Dakota, Grand Forks 58202-8376, ND, USA
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.