This is an announcement for the paper "Quotients of Banach algebras acting on $L^p$-spaces" by Eusebio Gardella and Hannes Thiel.

Abstract: We show that the class of Banach algebras that can be isometrically represented on an $L^p$-space, for $p\neq 2$, is not closed under quotients. This answers a question asked by Le Merdy 20 years ago. Our methods are heavily reliant on our earlier study of Banach algebras generated by invertible isometries of $L^p$-spaces.

Archive classification: math.OA math.FA

Mathematics Subject Classification: Primary: 47L10, 43A15. Secondary: 46J10

Remarks: 7 pages

Submitted from: gardella@uoregon.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1412.3985

or

http://arXiv.org/abs/1412.3985