Coloured Isomorphism of Classifiable C*-algebras
Jeffrey Im, George A. Elliott

TL;DR
This paper demonstrates that for a specific class of well-behaved C*-algebras, their coloured isomorphism class is uniquely determined by their tracial simplex, linking algebraic structure to trace space.
Contribution
It establishes that the coloured isomorphism class of unital, simple, $ ext{Z}$-stable, separable amenable C*-algebras satisfying UCT is fully characterized by their tracial simplex.
Findings
Coloured isomorphism class determined by tracial simplex
Applicable to unital, simple, $ ext{Z}$-stable, separable amenable C*-algebras satisfying UCT
Provides a classification result linking algebraic and trace data
Abstract
It is shown that the coloured isomorphism class of a unital, simple, -stable, separable amenable C-algebra satisfying the Universal Coefficient Theorem (UCT) is determined by its tracial simplex.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Advanced Algebra and Logic
