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arXiv · 1404.1589

*-Annihilators in Proper *-Semigroups

Tristan Bice
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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.

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Tristan Bice. 2014-04-06. *-Annihilators in Proper *-Semigroups. https://doi.org/10.1007/s00233-014-9611-2

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