Infinite norm decompositions of C$^*$-algebras

Details Infinite norm decompositions of C$^*$-algebras Infinite norm decompositions of C$^*$-algebras

2010-08-02

arxiv.org/abs/1008.0243v1

Mathematics

Operator Algebras

Scientific paper

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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