Support algebras of 𝜎-unital 𝐶*-algebras and their quasi-multipliers

Lin, Hua Xin

doi:10.1090/S0002-9947-1991-1008698-3

Support algebras of $\sigma$-unital $C^ *$-algebras and their quasi-multipliers
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Trans. Amer. Math. Soc. 325 (1991), 829-854 Request permission

Abstract:

We study certain dense hereditary $^\ast$-subalgebras of $\sigma$-unital ${C^\ast }$-algebras and their relations with the Pedersen ideals. The quasi-multipliers of the dense hereditary $^\ast$-subalgebras are also studied.

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