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Given the lack of feedback from the OP I am changing the title of the question to match the question that was actually asked

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edited Mar 15, 2018 at 4:28

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Homomorphic Images of C^* Are algebraically isomorphic $C^$-Algebrasalgebras $$-isomorphic?

added some relevant tags

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edited Mar 7, 2018 at 2:30

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fa.functional-analysis oa.operator-algebras c-star-algebras

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asked Mar 7, 2018 at 0:42

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Homomorphic Images of C^*-Algebras

If A and B are C^*-algebras that are algebraically isomorphic to each other, does this imply that they are *-isomorphic to each other?

fa.functional-analysis