COMPACT METRIZABLE STRUCTURES AND CLASSIFICATION PROBLEMS
AbstractWe 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.
2016 ◽
Vol 48
(10)
◽
pp. 74-85
2017 ◽
Vol 7
(7)
◽
pp. 172
2020 ◽
Vol 0
(0)
◽
pp. 0-0