A non-unital *-algebra has U𝐶*NP if and only if its unitization has U𝐶*NP

A non-unital $^\ast$-algebra has U$C^{\ast }$NP if and only if its unitization has U$C^{\ast }$NP
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by H. V. Dedania and H. J. Kanani PDF

Proc. Amer. Math. Soc. 141 (2013), 3905-3909 Request permission

The result stated in the title is proved, thereby disproving the result shown in a 1983 paper by B. A. Barnes (Theorem 4.1).

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