{ "id": "2204.06052", "version": "v1", "published": "2022-04-12T19:29:36.000Z", "updated": "2022-04-12T19:29:36.000Z", "title": "Coloured Isomorphism of Classifiable C*-algebras", "authors": [ "Jeffrey Im", "George A. Elliott" ], "categories": [ "math.OA" ], "abstract": "It is shown that the coloured isomorphism class of a unital, simple, $\\mathcal{Z}$-stable, separable amenable C$^*$-algebra satisfying the Universal Coefficient Theorem (UCT) is determined by its tracial simplex.", "revisions": [ { "version": "v1", "updated": "2022-04-12T19:29:36.000Z" } ], "analyses": { "subjects": [ "46L05", "46L35" ], "keywords": [ "universal coefficient theorem", "classifiable", "coloured isomorphism class", "tracial simplex" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }