I know what is meaning of support projection and central projection for an element $\omega$ in Von Neumann algebra $A$. But what is meaning of Central support projection and support projection for a pure state $\rho$?
2026-03-30 04:17:47.1774844267
Central support projection and support projection
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The usual definition, for a state $\omega$ on $A$, would be $$ \text{supp}\,\omega=I-\bigvee\{p\in A:\ \text{ projection, }\omega(p)=0\}. $$ The central version would be the same but only with projections from the centre.