A class of simple tracially AF C*-algebras
The concept of a tracially AF (TAF) C*-algebra was introduced recently to aid in the classification of nuclear C*-algebrasHere, we construct and study a broad class of inductive-limit C*-algebras. We give a numerical condition which, when satisfied, ensures that the corresponding algebra in our cons...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012917 |
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| _version_ | 1832562757199724544 |
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| author | N. E. Livingston |
| author_facet | N. E. Livingston |
| author_sort | N. E. Livingston |
| collection | DOAJ |
| description | The concept of a tracially AF (TAF) C*-algebra was introduced recently to aid in the classification of nuclear C*-algebrasHere, we construct and study a broad class of inductive-limit C*-algebras. We give a numerical condition which, when
satisfied, ensures that the corresponding algebra in our construction has the TAF property. We further give a necessary and sufficient condition under which certain of these C*-algebras are TAF. |
| format | Article |
| id | doaj-art-a4b005af12b94d87b35cf687d0359c42 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a4b005af12b94d87b35cf687d0359c422025-02-03T01:21:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131527128210.1155/S0161171202012917A class of simple tracially AF C*-algebrasN. E. Livingston0Department of Mathematics, University of Oregon, Eugene 97403-1222, OR, USAThe concept of a tracially AF (TAF) C*-algebra was introduced recently to aid in the classification of nuclear C*-algebrasHere, we construct and study a broad class of inductive-limit C*-algebras. We give a numerical condition which, when satisfied, ensures that the corresponding algebra in our construction has the TAF property. We further give a necessary and sufficient condition under which certain of these C*-algebras are TAF.http://dx.doi.org/10.1155/S0161171202012917 |
| spellingShingle | N. E. Livingston A class of simple tracially AF C*-algebras International Journal of Mathematics and Mathematical Sciences |
| title | A class of simple tracially AF C*-algebras |
| title_full | A class of simple tracially AF C*-algebras |
| title_fullStr | A class of simple tracially AF C*-algebras |
| title_full_unstemmed | A class of simple tracially AF C*-algebras |
| title_short | A class of simple tracially AF C*-algebras |
| title_sort | class of simple tracially af c algebras |
| url | http://dx.doi.org/10.1155/S0161171202012917 |
| work_keys_str_mv | AT nelivingston aclassofsimpletraciallyafcalgebras AT nelivingston classofsimpletraciallyafcalgebras |