Minimal Bratteli diagrams and the dimension groups of AF <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math>-algebras

Zerr, Ryan J.

doi:https://doi.org/10.1155/IJMMS/2006/65737

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 065737 | https://doi.org/10.1155/IJMMS/2006/65737

Minimal Bratteli diagrams and the dimension groups of AF C*-algebras

Ryan J. Zerr¹

Received30 Sept 2005

Accepted16 Apr 2006

Published25 Jun 2006

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.

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Copyright

Copyright © 2006 Hindawi Publishing Corporation. 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.

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