English

Order units in a C*-algebra

Operator Algebras 2007-05-23 v1

Abstract

Order unit property of a positive element in a CC^{*}-algebra is defined. It is proved that precisely projections satisfy this order theoretic property. This way, unital hereditary CC^{*}-subalgebras of a CC^{*}-algebra are characterized.

Keywords

Cite

@article{arxiv.math/0312120,
  title  = {Order units in a C*-algebra},
  author = {Anil K. Karn},
  journal= {arXiv preprint arXiv:math/0312120},
  year   = {2007}
}

Comments

5 pages, no figures, no tables