کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4667269 | 1345448 | 2009 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Classification of extensions of classifiable C*-algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
For a certain class of extensions e:0→B→E→A→0 of C*-algebras in which B and A belong to classifiable classes of C*-algebras, we show that the functor which sends e to its associated six term exact sequence in K-theory and the positive cones of K0(B) and K0(A) is a classification functor. We give two independent applications addressing the classification of a class of C*-algebras arising from substitutional shift spaces on one hand and of graph algebras on the other. The former application leads to the answer of a question of Carlsen and the first named author concerning the completeness of stabilized Matsumoto algebras as an invariant of flow equivalence. The latter leads to the first classification result for nonsimple graph C∗-algebras.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 222, Issue 6, 20 December 2009, Pages 2153-2172
Journal: Advances in Mathematics - Volume 222, Issue 6, 20 December 2009, Pages 2153-2172