Infinite norm decompositions of C$^*$-algebras
Operator Algebras
2010-08-03 v1
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.
Keywords
Cite
@article{arxiv.1008.0243,
title = {Infinite norm decompositions of C$^*$-algebras},
author = {Farkhad Arzikulov},
journal= {arXiv preprint arXiv:1008.0243},
year = {2010}
}