Jiang-Su Algebra as a Fra\"iss\'e Limit
Operator Algebras
2016-02-02 v1 Logic
Abstract
In this paper, we give a self-contained and quite elementary proof that the class of all dimension drop algebras together with their distinguished faithful traces forms a Fra\"iss\'e class with the Jiang-Su algebra as its limit. We also show that the UHF algebras can be realized as Fra\"iss\'e limits of classes of C*-algebras of matrix-valued continuous functions on with faithful traces.
Keywords
Cite
@article{arxiv.1602.00124,
title = {Jiang-Su Algebra as a Fra\"iss\'e Limit},
author = {Shuhei Masumoto},
journal= {arXiv preprint arXiv:1602.00124},
year = {2016}
}
Comments
18 pages