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arXiv · 1008.0243

Infinite norm decompositions of C$^*$-algebras

Farkhad Arzikulov
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Abstract

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.

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BibTeXRIS

Farkhad Arzikulov. 2010-08-02. Infinite norm decompositions of C$^*$-algebras. https://arxiv.org/abs/1008.0243

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