کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9495779 | 1335185 | 2005 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the topology of the Kasparov groups and its applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the topology of the Kasparov groups and its applications On the topology of the Kasparov groups and its applications](/preview/png/9495779.png)
چکیده انگلیسی
In this paper we establish a direct connection between stable approximate unitary equivalence for *-homomorphisms and the topology of the KK-groups which avoids entirely C*-algebra extension theory and does not require nuclearity assumptions. To this purpose we show that a topology on the Kasparov groups can be defined in terms of approximate unitary equivalence for Cuntz pairs and that this topology coincides with both Pimsner's topology and the Brown-Salinas topology. We study the generalized Rørdam group KL(A,B)=KK(A,B)/0¯, and prove that if a separable exact residually finite dimensional C*-algebra satisfies the universal coefficient theorem in KK-theory, then it embeds in the UHF algebra of type 2â. In particular such an embedding exists for the C*-algebra of a second countable amenable locally compact maximally almost periodic group.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 228, Issue 2, 15 November 2005, Pages 394-418
Journal: Journal of Functional Analysis - Volume 228, Issue 2, 15 November 2005, Pages 394-418
نویسندگان
Marius Dadarlat,