Abstract
The notion of partial group $C^{*}$-algebra of a discrete group introduced by R. Exel in [3] is generalized to an idempotent unital inverse semigroup, and the partial inverse semigroup $C^{*}$-algebra is defined. By using the algebras of multipliers of ideals of an associative algebra, we can prove some theorem in the $C^{*}$-algebra context without using the approximate identity.
Citation
B. Tabatabaie Shourijeh. "PARTIAL INVERSE SEMIGROUP $C^*$-ALGEBRA." Taiwanese J. Math. 10 (6) 1539 - 1548, 2006. https://doi.org/10.11650/twjm/1500404573
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