Timeline for Why $A^*A =A$ implies that $A$ is a C$^*$ algebra (Proposition 5.2.8 of An Invitation to Quantum Groups and Duality by Thomas Timmermann)
Current License: CC BY-SA 3.0
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Sep 11, 2015 at 11:51 | answer | added | Simon Henry | timeline score: 4 | |
Sep 11, 2015 at 11:45 | comment | added | Simon Henry | Your example does not work: You have $A^* A \subset A$ but there is no equality. | |
Sep 11, 2015 at 11:32 | history | asked | heller | CC BY-SA 3.0 |