Purely infinite, simple C*-algebras arising from free product constructions, III

Purely infinite, simple C*-algebras arising from free product constructions, III
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由自由乘积结构产生的纯粹无限、简单的 C* 代数,III

DOI:
10.1090/s0002-9939-00-05556-8
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发表时间:
1999
期刊:
arXiv: Operator Algebras
影响因子:
--
通讯作者:
K. Dykema
K. Dykema
中科院分区:
--
文献类型:
--
作者:
M. Choda;K. Dykema

文献摘要

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在C*-代数(A,)=(A_1,phi_1)*(A_2,phi_2)的简化自由积中,在A_1是C*-代数与离散无限群的交叉积的假设下,证明了A是纯无穷简单的,phi_1对这个交叉积表现良好,并且A_2不是一维的。
In the reduced free product of C*-algebras (A,phi)=(A_1,phi_1)*(A_2,phi_2), A is shown to be purely infinite and simple under the hypothesis that A_1 is the crossed product of a C*-algebra by a discrete infinite group, phi_1 is well behaved with respect to this crossed product and A_2 is not one dimensional.