This is an announcement for the paper "Fraisse limits in functional analysis" by Martino Lupini.
Abstract: We provide a unified approach to many Fra"{\i}ss'{e} limits in functional analysis, including the Gurarij space, the Poulsen simplex, and their noncommutative analogs. We recover in this general framework many classical results about the Gurarij space and the Poulsen simplex, and at the same time obtain their noncommutative generalizations. Particularly, we construct noncommutative analogs of universal operators in the sense of Rota.
Archive classification: math.FA math.LO math.OA
Mathematics Subject Classification: 46L07, 46A55 (Primary) 46L89, 03C30, 03C98 (Secondary)
Remarks: 28 pages
Submitted from: lupini@caltech.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1510.05188
or