*-Annihilators in Proper *-Semigroups
Rings and Algebras
2017-02-10 v1 Operator Algebras
Abstract
We generalize some basic C*-algebra and von Neumann algebra theory on hereditary C*-subalgebras and projections. In particular, we extend Murray-von Neumann equivalence from projections to *-annihilators and show that several of its important properties also extend from von Neumann algebras to proper *-semigroups. Furthermore, we show how to obtain *-annihilator decompositions of a proper *-semigroup that correspond to classical von Neumann algebra type decompositions.
Cite
@article{arxiv.1404.1589,
title = {*-Annihilators in Proper *-Semigroups},
author = {Tristan Bice},
journal= {arXiv preprint arXiv:1404.1589},
year = {2017}
}