Let $M$ be a von Neumann algebra and $\rho$ a normal state on $M$.
Suppose that $a$ is in the centralizer of $\rho$ and $b$ is positive in $M$ such that $abs(\rho)=0$, where $s(\rho)$ is the support projection of $\rho$.
Can we conclude that $ab=0$?
2026-03-28 06:06:58.1774678018
Support projection of a normal state
44 Views Asked by user63181 https://math.techqa.club/user/user63181/detail AtRelated Questions in OPERATOR-ALGEBRAS
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