Timeline for Hochschild/cyclic homology of von Neumann algebras: useless?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 17, 2009 at 21:07 | comment | added | Dave Penneys | I hope so. I would love to have an example of a $II_1$-factor with nontrivial Hochschild homology. The problem is computing it is very difficult as Choi says. | |
| Oct 16, 2009 at 20:56 | comment | added | GMRA | So what you are saying is that in some cases all we need is the algebraic information? In these special cases surely you should get alot of information from Hochshild or cyclic cohomology. But I gather this is not the general case, and procing these equivalences for the special cases is nontrivial. | |
| Oct 16, 2009 at 20:21 | comment | added | Eric Wofsey | Yeah, it seems analogous to, say, considering the structure of ideals without requiring them to be closed. | |
| Oct 16, 2009 at 20:15 | comment | added | Dave Penneys | Please see above comment about algebraic bimodules of $II_1$-factors and correspondences. In some cases, we can ignore the analysis and make the situation a bit simpler. | |
| Oct 16, 2009 at 19:57 | history | answered | GMRA | CC BY-SA 2.5 |