Abstract
There is a well-known interpretation of group cohomology in terms of (generalized) group extensions. For a connected semisimple compact Lie group K, we prove that the extensions corresponding to classes in H 4(BK,ℤ) can be interpreted in terms of automorphisms of a pair consisting of a type II1 von Neumann algebra and a Cartan subalgebra.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 199-213 |
| Number of pages | 15 |
| Journal | Journal of Lie Theory |
| Volume | 14 |
| Issue number | 1 |
| State | Published - 2004 |
ASJC Scopus subject areas
- Algebra and Number Theory