International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 5, Pages 65737, 13 p.
doi:10.1155/IJMMS/2006/65737
Minimal Bratteli diagrams and the dimension groups of AF C*-algebras
Ryan J. Zerr
Mathematics Department, University of North Dakota, Witmer Hall Room 313, 101 Cornell Street Stop 8376, Grand Forks 58202-8376, ND, USA
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.