Abstract
It is shown that a finitely additive measure on the projections of a von Neumann algebra without I2 and II1 summands is the restriction of a state. A definition of a physical state is proposed, and it is shown that such a physical state on a simple C*-algebra with unit is a state.
| Original language | English |
|---|---|
| Journal | Communications in Mathematical Physics |
| Volume | 86 |
| Issue number | 4 |
| Pages (from-to) | 529-538 |
| Number of pages | 10 |
| ISSN | 0010-3616 |
| DOIs | |
| Publication status | Published - Dec 1982 |
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