Regular embeddings of C*-algebras in monotone complete C*-algebras
Regular embeddings of C*-algebras in monotone complete C*-algebras
Let $A$ be a unital $C^{*}$ -algebra and $A_{s.a}$ .the self-adjoint part of $A$ .If each bounded increasing net (resp.sequence) in $A_{s.a}$ .has a supremum then $A$ is said to be monotone (resp.monotone $\sigma-$ ) complete. [In the literature, $e$ .$g.,$ $[10,16,20]$ , the adjective " monotone (resp.monotone $\sigma-$ ) …