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arXiv · 1505.02395

Reversible AJW-algebras

Shavkat Ayupov·Farhodjon Arzikulov
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Abstract

In this article it is proved that for every special AJW-algebra $A$ there exist central projections $e$, $f$, $g\in A$, $e+f+g=1$ such that (1) $eA$ is reversible and there exists a norm-closed two sided ideal $I$ of $C^*(eA)$ such that $eA={{}^\perp}(^\perp(I_{sa})_+)_+$; (2) $fA$ is reversible and $R^*(fA)\cap iR^*(fA)=\{0\}$; (3) $gA$ is a totally nonreversible AJW-algebra.

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Shavkat Ayupov, Farhodjon Arzikulov. 2015-05-10. Reversible AJW-algebras. https://arxiv.org/abs/1505.02395

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