Timeline for Finding the commutant of a von Neumann algebra
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 26, 2013 at 17:13 | comment | added | Nik Weaver | The way I would approach this is by trying to find a good, usable characterization of the operators in $A$. Then fix an operator that commutes with $B \cup B^*$ and check that it satisfies this condition. | |
| Nov 26, 2013 at 14:04 | comment | added | mkreisel | Thank you for your answer! Indeed, the algebras I am dealing with are Type II factors acting on B(L^2(X)) where X is a topological space. Is there some classification of the operators on B(L^2(X)) that would allow me to systematically check that the operators in B are the only ones commuting withoperators in A (or vice versa)? | |
| Nov 26, 2013 at 4:41 | history | answered | Nik Weaver | CC BY-SA 3.0 |