Abstract
We order faithful, normal states by ordering their respective centralizers by inclusion. Maximal elements are shown to be what Takesaki has called inner homogeneous states. Centralizers of maximal elements exhibit a maximal property with respect to semifinite ranges of normal projections.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 317-323 |
| Number of pages | 7 |
| Journal | Journal of Functional Analysis |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 1973 |
ASJC Scopus subject areas
- Analysis
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Cite this
Herman, R. H. (1973). Centralizers and an ordering for faithful, normal states. Journal of Functional Analysis, 13(4), 317-323. https://doi.org/10.1016/0022-1236(73)90055-4