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arXiv · 1610.00370

Compact metrizable structures and classification problems

Christian Rosendal·Joseph Zielinski
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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.

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Christian Rosendal, Joseph Zielinski. 2016-10-02. Compact metrizable structures and classification problems. https://arxiv.org/abs/1610.00370

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