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References:
[1] E. Hewitt, H. S. Zuckerman: The $l_1$-algebra of a commutative semi-group. Trans. AMS 83 (1956), 70-97. MR 0081908
[2] R. Kaufman: Extension of functionals and inequalities on an abelian semi-group. Proc. AMS 77 (1966), 83-85. MR 0185028 | Zbl 0136.27203
[3] R. Kaufman: Positive semicharacters. J. London Math. Soc. 42 (1967), 264-266. DOI 10.1112/jlms/s1-42.1.264 | MR 0207871
[4] C. E. Rickart: Banach Algebras. Princeton, 1960. Zbl 0095.09702
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