The Ext-group of unitary equivalence classes of unital extensions

被引：2

作者：

Xue, Yi Feng ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Unital extension; multiplier algebra; Ext-group; quasi-unital *-homomorphism; C-ASTERISK-ALGEBRAS; STABLE RANK; K-THEORY;

D O I：

10.1007/s10114-011-9267-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a unital separable nuclear C*-algebra which belongs to the bootstrap category N and B be a separable stable C*-algebra. In this paper, we consider the group Ext (u) (A, B) consisting of the unitary equivalence classes of unital extensions tau: A -> Q(B). The relation between Ext (u) (A, B) and Ext(A, B) is established. Using this relation, we show the half-exactness of Ext (u) (center dot, B) and the (UCT) for Ext (u) (A, B). Furthermore, under certain conditions, we obtain the half-exactness and Bott periodicity of Ext (u) (A, center dot).

引用

页码：2329 / 2342

页数：14

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