Compact metrizable structures and classification problems
Logic
2016-10-04 v1
Abstract
We introduce and study the framework of compact metric structures and their associated notions of isomorphisms such as homeomorphic and bi-Lipschitz isomorphism. This is subsequently applied to model various classification problems in analysis such as isomorphism of C*-algebras and affine homeomorphism of Choquet simplices, where among other things we provide a simple proof of the completeness of the isomorphism relation of separable, simple, nuclear C*-algebras recently established by M. Sabok.
Keywords
Cite
@article{arxiv.1610.00370,
title = {Compact metrizable structures and classification problems},
author = {Christian Rosendal and Joseph Zielinski},
journal= {arXiv preprint arXiv:1610.00370},
year = {2016}
}