Baum-Connes morphism twisted by a non-unitary representation

被引：0

作者：

Gomez-Aparicio, Maria Paula ^{[1
]}

机构：

[1] Inst Math Jussieu, Projet Algebres Operateurs & Representat, F-75013 Paris, France

来源：

JOURNAL OF K-THEORY | 2010年 / 6卷 / 01期

关键词：

Non-unitary representations; Banach algebras; KK-theory; Baum-Connes conjecture; K-THEORY; NOVIKOV-CONJECTURE; COCOMPACT LATTICES; PROPERTY RD; ALGEBRAS; PRODUCT;

D O I：

10.1017/is009012003jkt078

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a locally compact group and rho a non-unitary finite dimensional representation of G. We consider tensor products of rho by some unitary representations of G in order to define two Banach algebras analogous to the group C(*)-algebras, C(*)(G) and C(r)*(G). We calculate the K-theory of such algebras for a large class of groups satisfying the Baum-Connes conjecture.

引用

页码：23 / 68

页数：46

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