The connected stable rank of the purely infinite simple <IMG ALIGN=BOTTOM HEIGHT=14 WIDTH=21>-algebras期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

The connected stable rank of the purely infinite simple -algebras

Authors:	Yifeng Xue

Institution:	Institute of Fundamental Education, East China University of Science and Technology, Shanghai 200237, People's Republic of China

Abstract:	Suppose that $\mathcal A$ is a unital purely infinite simple -algebra. If the class 1] of the unit 1 in $K_0(\mathcal A)$ has torsion, then $\operatorname{csr}(\mathcal A)=\infty$ ; if 1] is torsion-free in $K_0(\mathcal A)$ , then $\operatorname{csr}(\mathcal A)=2$ . If $\mathcal A$ is a non-unital purely infinite simple -algebra, then $\operatorname{csr}(\mathcal A)=2$ .

Keywords:	Purely infinite simple $C^$-algebras connected stable rank $K$-group of the $C^$-algebras

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文