4 problems

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Conjecture that $w$ -star measurability is sufficient for a consistent measurable structure
Sufficiency conjecture. The $w$ -star measurability of $\gr t{\smash{\hat\beta}}$ should also be sufficient for the existence of a consistent measurable structure on $\E$ .
Conjectureopenoperator-algebras product-systemsarXiv posted 2 days ago
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Conjecture characterizing isomorphism of the product systems $\E^\M$
Conjecture on product-system isomorphism. The product systems are isomorphic if and only if the lattices $\FG_L$ and $\FG_{L'}$ are isomorphic and, under this identification,…
Conjectureopenoperator-algebras product-systemsarXiv posted 2 days ago
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Conjecture that convolution measure types are idempotent without the disjointness condition
Conjecture on convolution measure types. The equality
Conjectureopenmeasure-theory product-systemsarXiv posted 2 days ago
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Arveson's conjecture on type III E_0-semigroups
A type $III$ $E_0$ -semigroup is an $E_0$ -semigroup of type $III$ , and two $E_0$ -semigroups are cocycle conjugate when they are equivalent up to conjugacy and a cocycle perturbation…
Conjectureopene0-semigroups operator-algebras product-systemsarXiv posted 2 days ago

Conjecture that www-star measurability is sufficient for a consistent measurable structure