Strongly self-absorbing $C^*$-algebras and Fra\"iss\'e limits
Operator Algebras
2021-03-03 v3 Functional Analysis
Abstract
We show that the Fra\"iss\'e limit of a category of unital separable -algebras which is sufficiently closed under tensor products of its objects and morphisms is strongly self-absorbing, given that it has approximate inner half-flip. We use this connection between Fra\"iss\'e limits and strongly self-absorbing -algebras to give a self-contained and rather elementary proof for the well known fact that the Jiang-Su algebra is strongly self-absorbing.
Keywords
Cite
@article{arxiv.1910.13590,
title = {Strongly self-absorbing $C^*$-algebras and Fra\"iss\'e limits},
author = {Saeed Ghasemi},
journal= {arXiv preprint arXiv:1910.13590},
year = {2021}
}
Comments
This is the journal accepted version