Timeline for Pure infiniteness of tensor product $C^\ast$-algebras
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 29, 2018 at 11:04 | answer | added | Jamie Gabe | timeline score: 2 | |
| Jun 10, 2018 at 23:17 | comment | added | Sabrina Gemsa | I guess one can try the following (or a suitible modification of it): Try the calkin algebra $A=B(\ell^2)/K(\ell^2)$ together with the suspension of the complex numbers, $B=S\mathbb{C}$, as an counterexample. | |
| Jun 10, 2018 at 23:16 | comment | added | Sabrina Gemsa | For a reference (of a similar version) check Rordams book 'classification of nuclear C∗-algebras', chapter 4. There is a similar version with a proof, where A is assumed to be simple, separable, not stably finite and B is simple and not of type I. This indicates that your stated version is probably wrong if you drop these conditions. | |
| Jun 5, 2018 at 3:03 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
added links to the paper
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| Jun 5, 2018 at 2:54 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
deleted 3 characters in body
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| Jun 5, 2018 at 2:29 | history | asked | Targaryen | CC BY-SA 4.0 |