International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 65737, 13 pages
doi:10.1155/IJMMS/2006/65737
Minimal Bratteli diagrams and the dimension groups of AF C*-algebras
Mathematics Department, University of North Dakota, Witmer Hall Room 313, 101 Cornell Street Stop 8376, Grand Forks 58202-8376, ND, USA
Received 30 September 2005; Accepted 16 April 2006
Copyright © 2006 Ryan J. Zerr. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A method is described which identifies a wide variety of AF algebra dimension groups with groups of continuous functions. The results here generalize the well-known fact that commutative AF algebras have dimension groups which can be identified with groups of integer-valued continuous functions.