Timeline for Hilbert $C^*$-modules and approximate units
Current License: CC BY-SA 2.5
9 events
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
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| Feb 10, 2010 at 15:52 | comment | added | Jonas Meyer | You're welcome, and don't worry about the time. This example arises in Morita equivalence of C*-algebras. It yields an equivalence bimodule between $\mathcal{K}(H)$ and $\mathbb{C}$ | |
| Feb 10, 2010 at 13:32 | vote | accept | Indrava Roy | ||
| Feb 10, 2010 at 13:32 | comment | added | Indrava Roy | Thanks, the counterexample is great. Sorry for my late reply. | |
| Feb 5, 2010 at 4:25 | history | edited | Jonas Meyer | CC BY-SA 2.5 |
added mention of fullness
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| Feb 5, 2010 at 4:05 | comment | added | Yemon Choi | @Jonas: yes, of course it is. Nice example. (I was vaguely wondering if there might be some polarization trick - perhaps that could be done if $A$ is commutative? - but your example shows I wasn't thinking about things properly.) | |
| Feb 5, 2010 at 4:01 | comment | added | Jonas Meyer | Absolutely. The span of the range of the inner product is the finite rank operators, which for the finite dimensional case is $A$, and in the infinite dimensional case is dense in $A$. | |
| Feb 5, 2010 at 3:59 | comment | added | Yemon Choi | @Jonas: is that example a full Hilbert $A$-module? | |
| Feb 5, 2010 at 3:56 | history | answered | Jonas Meyer | CC BY-SA 2.5 |