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We show that any sequence $(φ_{n})$ of mutually orthogonal pure states on a JB algebra A such that $(φ_{n})$ forms an almost discrete sequence in the relative topology induced by the primitive ideal space of A admits a sequence $(a_{n})$ consisting of positive, norm one, elements of A with pairwise orthogonal supports which is supporting for $(φ_{n})$ in the sense of $φ_{n} (a_{n}) = 1$ for all n. Moreover, if A is separable then $(a_{n})$ can be taken such that $(φ_{n})$ is uniquely determined by the biorthogonality condition $φ_{n} (a_{n}) = 1$ . Consequences of this result improving...

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Scaling algebras in local relativistic quantum physics.

Series of iterated quantum stochastic integrals

Some C*-dynamical systems with a single KMS state.

Standard and split inclusions of von Neumann algebras.

Standard generalized vectors for partial O*-algebras

Strong Clustering in Type III Entropic K-Systems.

Supporting sequences of pure states on JB algebras

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