Abstract
Answering a first question of Voiculescu (On the existence of quasi-central approximate units relative to normed ideals,J. Funct. Anal.91(1990), 1–36) Vaillant 8?and Kirchberg (OnC*-algebras having subexponential, polynomial and linear growth,Invent. Math.108(1992), 635–652) showed that subexponential growth implies nuclearity in theC*-context. Voiculescu suggested a Følner type condition forC*-algebras and asked about the relation to growth and nuclearity. In this work we clarify the relation among subexponential growth phenomena, this Følner condition suggested by Voiculescu, weak filtrability in the sense of Arveson and Bedos, and nuclearity in theC*-algebra context.
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 callDisclaimer: 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.
