Morita equivalence and Pedersen ideals. (English) Zbl 1058.46038

Ara, Pere

Proc. Am. Math. Soc. 129, No. 4, 1041-1049 (2001).

Summary: We show that two \(C^{*}\)-algebras are strongly Morita equivalent if and only if their Pedersen ideals are Morita equivalent as rings with involution.

MSC:

46L08	\(C^*\)-modules
16D90	Module categories in associative algebras

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