Infinite norm decompositions of C*-algebras

الأصل · EN

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.