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MR709587 (85f:46100) 46K05 (46K10)
Barnes, Bruce A. The properties $\sp{\ast} $-regularity and uniqueness of $C\sp{\ast} $-norm in a general $\sp{\ast} $-algebra. Trans. Amer. Math. Soc. 279 (1983), no. 2, 841–859.
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