Timeline for square root of contractions in Baer *-rings
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 15, 2016 at 4:34 | history | edited | ABB |
edited tags
|
|
| Nov 15, 2016 at 0:41 | comment | added | David Handelman | Instead of algebraic, I meant finite-dimensional. | |
| Nov 15, 2016 at 0:27 | comment | added | David Handelman | Surely there must be more hypotheses. For example, if $F$ is a subfield of the complexes closed under complex conjugation, then $F$ and all its matrix rings are Baer*. But a positive answer to Q1 for even a single one of these matrix rings forces $F$ to contain square roots of all of its positive elements. So take $F $ to be the rationals, or any algebraic extension thereof (with a complex embedding). | |
| Nov 14, 2016 at 15:12 | history | asked | ABB | CC BY-SA 3.0 |