Open AccessMinimal Bratteli diagrams and the dimension groups of AF C*‐algebras
Author(s) -
Ryan J. Zerr
Publication year - 2006
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/2006/65737
Subject(s) - mathematics , dimension (graph theory) , integer (computer science) , variety (cybernetics) , commutative property , pure mathematics , group (periodic table) , algebra over a field , organic chemistry , programming language , statistics , chemistry , computer science
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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