Abstract
Two areas of mathematics which have received substantial attention in recent years are the theory of optimal transport and the Elliott classification programme for C⁎-algebras. We combine these two seemingly unrelated disciplines to make progress on a classical problem of Weyl. In particular, we show how results from the Elliott classification programme can be used to translate continuous transport of spectral measures into optimal unitary conjugation in C⁎-algebras. As a consequence, whenever two normal elements of a sufficiently well-behaved C⁎-algebra share a spectrum amenable to such continuous transport, and have trivial K1-class, the distance between their unitary orbits can be computed tracially.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
More From: Journal of Functional Analysis
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.
