Abstract
Derivations on algebras of (unbounded) operators affiliated with a von Neumann algebra ℳ are considered. Let Open image in new window be one of the algebras of measurable operators, of locally measurable operators, and of τ-measurable operators. The von Neumann algebras ℳ of type I for which any derivation on Open image in new window is inner are completely described in terms of properties of central projections. It is also shown that any derivation on the algebra LS(ℳ) of all locally measurable operators affiliated with a properly infinite von Neumann algebra ℳ vanishes on the center LS(ℳ).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.