On automorphisms of type II Arveson systems (probabilistic approach)

Abstract

A counterexample to the conjecture that the automorphisms of an arbitrary Arveson system act transitively on its normalized units.

v3: mistakes corrected in formulas (pp. 9, 11, 16, 18, 23, 24, 27, 30) and refs (pp. 2, 6, 28, 29, 30)

References in corpus (3)

• Nonclassical stochastic flows and continuous products
• Splitting: Tanaka's SDE revisited
• Automorphisms of the type II_1 Arveson system of Warren's noise

Cited by in corpus (7)

• Nonclassical stochastic flows and continuous products
• $E_0$-semigroups: around and beyond Arveson's work
• Automorphisms of the type II_1 Arveson system of Warren's noise
• Local Unitary Cocycles of E_0-semigroups
• Spatial Markov Semigroups Admit Hudson-Parthasarathy Dilations
• The Index of (White) Noises and their Product Systems
• Subsystems of Fock Need Not Be Fock: Spatial CP-Semigroups