کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9495837 | 1335192 | 2005 | 54 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Unbounded symmetric operators in K-homology and the Baum-Connes conjecture
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Unbounded symmetric operators in K-homology and the Baum-Connes conjecture Unbounded symmetric operators in K-homology and the Baum-Connes conjecture](/preview/png/9495837.png)
چکیده انگلیسی
Using the unbounded picture of analytical K-homology, we associate a well-defined K-homology class to an unbounded symmetric operator satisfying certain mild technical conditions. We also establish an “addition formula” for the Dirac operator on the circle and for the Dolbeault operator on closed surfaces. Two proofs are provided, one using topology and the other one, surprisingly involved, sticking to analysis, on the basis of the previous result. As a second application, we construct, in a purely analytical language, various homomorphisms linking the homology of a group in low degree, the K-homology of its classifying space and the analytic K-theory of its C*-algebra, in close connection with the Baum-Connes assembly map. For groups classified by a 2-complex, this allows to reformulate the Baum-Connes conjecture.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 229, Issue 1, 1 December 2005, Pages 184-237
Journal: Journal of Functional Analysis - Volume 229, Issue 1, 1 December 2005, Pages 184-237
نویسندگان
Hela Bettaieb, Michel Matthey, Alain Valette,