Abstract
The notion of an algebra that is locally embeddable into finite dimensional algebras (LEF) and the notion of an LEF group was introduced by Gordon and Vershik in [GoVe]. M. Ziman proved in [Zi] that the group algebra of a group $G$ is an LEF algebra if and only if $G$ is an LEF group. He conjectured that an algebra generated as a vector space by a multiplicative subgroup $G$ of its invertible elements is an LEF algebra if and only if $G$ is an LEF group. In this paper we give a characterization of the invertible elements of an LEF algebra and use it to construct a counterexample to this conjecture.
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.
