C $^*$ -代数的无穷范数分解
Infinite norm decompositions of C$^*$-algebras
摘要：
本文研究了C $^*$ -代数的无限模分解的概念。范数分解是Peirce分解的某种推广。证明了任意C $^*$ -代数的无限模分解是C $^*$ -代数.构造了具有无限和非零有限投影的C $^*$ -因子和简单纯无限C $^*$ -代数.
英文摘要：
In the given article the notion of infinite norm decomposition of a C$^*$-algebra is investigated. The norm decomposition is some generalization of Peirce decomposition. It is proved that the infinite norm decomposition of any C$^*$-algebra is a C$^*$-algebra. C$^*$-factors with an infinite and a nonzero finite projection and simple purely infinite C$^*$-algebras are constructed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
