کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9521089 | 1346627 | 2005 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Simple infinite-dimensional quotients of the group Câ
-algebras ofcertain discrete 6-dimensional nilpotent groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Simple infinite-dimensional quotients of the group Câ
-algebras ofcertain discrete 6-dimensional nilpotent groups Simple infinite-dimensional quotients of the group Câ
-algebras ofcertain discrete 6-dimensional nilpotent groups](/preview/png/9521089.png)
چکیده انگلیسی
We study here the simple infinite-dimensional quotients of the group C*-algebras of two discrete6-dimensional nilpotent groups H6,1 and H6,2 as the higher-dimensional analogues of the irrational rotation algebras. P Milnes and S. Walters, jointly and individually, have studied the lower-dimensional cases in a series of papers, and also have started the study of some other 6-dimensional groups. For G = H6,1 or H6,2, we can determine the crossed product presentations for the simple quotients of C* (G), and matrix representations for those arising from non-faithful representations of the groups. The isomorphism classifications of these quotients are obtained using K-theoretic tools, namely, the K-groups and the range of trace on K0. This marks the first use of K-theory in the classification of quotients for 6-dimensional groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 16, Issue 1, 2005, Pages 91-115
Journal: Indagationes Mathematicae - Volume 16, Issue 1, 2005, Pages 91-115
نویسندگان
Kamran Reihani, Ali Reza Medghalchi,