Minimal Bratteli diagrams and the dimension groups of AF C*-algebras
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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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/65737 |
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| _version_ | 1832552804654252032 |
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| author | Ryan J. Zerr |
| author_facet | Ryan J. Zerr |
| author_sort | Ryan J. Zerr |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b8ae7a9051474a3e82e9b80c9d511ace |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b8ae7a9051474a3e82e9b80c9d511ace2025-02-03T05:57:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/6573765737Minimal Bratteli diagrams and the dimension groups of AF C*-algebrasRyan J. Zerr0Mathematics Department, University of North Dakota, Witmer Hall Room 313, 101 Cornell Street Stop 8376, Grand Forks 58202-8376, ND, USAA 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.http://dx.doi.org/10.1155/IJMMS/2006/65737 |
| spellingShingle | Ryan J. Zerr Minimal Bratteli diagrams and the dimension groups of AF C*-algebras International Journal of Mathematics and Mathematical Sciences |
| title | Minimal Bratteli diagrams and the dimension groups of AF C*-algebras |
| title_full | Minimal Bratteli diagrams and the dimension groups of AF C*-algebras |
| title_fullStr | Minimal Bratteli diagrams and the dimension groups of AF C*-algebras |
| title_full_unstemmed | Minimal Bratteli diagrams and the dimension groups of AF C*-algebras |
| title_short | Minimal Bratteli diagrams and the dimension groups of AF C*-algebras |
| title_sort | minimal bratteli diagrams and the dimension groups of af c algebras |
| url | http://dx.doi.org/10.1155/IJMMS/2006/65737 |
| work_keys_str_mv | AT ryanjzerr minimalbrattelidiagramsandthedimensiongroupsofafcalgebras |