Timeline for Tensor product of C*-algebras of bounded, uniformly continuous functions on metric spaces
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 28, 2013 at 11:50 | vote | accept | AlexE | ||
| Apr 27, 2013 at 17:52 | comment | added | Martin | Does the following work? If $X_1$ and $X_2$ are not totally bounded, they contain $\varepsilon$-discrete infinite subsets $D_1$ and $D_2$ for some $\varepsilon$. Their closures in the Samuel compactifications should be $\beta D_1$ and $\beta D_2$. Moreover, $D_1 \times D_2$ is $\varepsilon$-discrete, so its closure in the Samuel compactification of $X_1 \times X_2$ is $\beta (D_1 \times D_2)$. But $\beta (D_1 \times D_2) \neq \beta D_1 \times \beta D_2$. | |
| Apr 27, 2013 at 14:43 | history | answered | jbc | CC BY-SA 3.0 |