Timeline for Morphism of von Neumann Algebras
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 20, 2012 at 23:39 | comment | added | Nik Weaver | It might be worth adding that any C*-isomorphism between $A$ and $B$, if there is one, is also a W*-isomorphism. | |
| Nov 20, 2012 at 22:39 | history | edited | José Hdz. Stgo. | CC BY-SA 3.0 |
edited body; edited title
|
| Sep 21, 2011 at 0:24 | comment | added | Dmitri Pavlov | Take any commutative von Neumann algebra A without atomic projections. There are no W*-morphisms from A to complex numbers, yet there are many C*-morphisms of this type. In fact, the Gelfand-Neumark theorem tells us that C*-morphisms distinguish different elements of A. | |
| Sep 20, 2011 at 23:08 | history | edited | user12806 | CC BY-SA 3.0 |
added 1 characters in body; edited tags
|
| Sep 20, 2011 at 23:08 | comment | added | Yemon Choi | Take $B$ to be the bidual of $A$ and take your morphism to be the canonical inclusion of $A$ into $A^{**}$. | |
| Sep 20, 2011 at 22:45 | history | asked | user12806 | CC BY-SA 3.0 |