Work

Classification of reduced free products of nuclear C*-algebras

Year: 2026

Type: preprint

Abstract: Consider the countably infinite reduced free product $D$ of copies of $(\mathrm C([0,1]),λ)$, where $λ$ is Lebesgue measure. It is proved that finite and countable reduced free products of unital separable nuclear UCT $\mathrm C^*$-algebras with respect to a chosen family of faithful traces are classified, after adjoining $D$, by the Elliott invariant. In other words, an isomorphism between the naive K-theory invariants of two such algebras is induced by an isomorphism between the algebras.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.36459

Authors: Elliott, George A., Li, Chun Guang, Niu, Zhuang

Institution: University of Wyoming

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W7224088159

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