The Ext-group of unitary equivalence classes of unital extensions

被引：0

作者：

Yi Feng Xue

机构：

[1] East China Normal University,Department of Mathematics

来源：

Acta Mathematica Sinica, English Series | 2011年 / 27卷

关键词：

Unital extension; multiplier algebra; Ext-group; quasi-unital *-homomorphism; 46L05; 46L80; 46L35;

D O I：

暂无

中图分类号：

学科分类号：

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 Extu(A, B) consisting of the unitary equivalence classes of unital extensions τ: A→Q(B). The relation between Extu(A, B) and Ext(A, B) is established. Using this relation, we show the half-exactness of Extu(·, B) and the (UCT) for Extu(A, B). Furthermore, under certain conditions, we obtain the half-exactness and Bott periodicity of Extu(A, ·).

引用

页码：2329 / 2342

页数：13

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