3 problems

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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
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Conjecture on constructions with bounded-generator CP semigroups on infinite-dimensional type I factors
Bounded-generator CP semigroup conjecture. Similar constructions can be carried out with completely positive semigroups having bounded generators that act on an infinite-dimensiona…
Conjectureopencp-semigroups e0-semigroups operator-algebrasarXiv posted 2 days ago
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The conjecture of uncountably many non-cocycle-conjugate type III $E_0$ -semigroups
An $E_0$ -semigroup is a continuous semigroup of unit-preserving endomorphisms of $B(H)$ , the algebra of bounded operators on a separable Hilbert space $H$ . Such semigroups are cocy…
Conjectureopene0-semigroups operator-algebras type-iii-factorsarXiv posted 2 days ago

Arveson's conjecture on type III E_0-semigroups