PreprintCC BY 4.0arXiv
Classification of reduced free products of nuclear C*-algebras
Abstract
Consider the countably infinite reduced free product D of copies of (C([0,1]),λ), where λ is Lebesgue measure. It is proved that finite and countable reduced free products of unital separable nuclear UCT 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.
Related
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BibTeX
@misc{elliott2026classification,
title = {{Classification of reduced free products of nuclear C*-algebras}},
author = {George A. Elliott and Chun Guang Li and Zhuang Niu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36459},
eprint = {2610.36459},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36459},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Classification of reduced free products of nuclear C*-algebras
AU - George A. Elliott
AU - Chun Guang Li
AU - Zhuang Niu
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.36459
UR - https://arxiv.org/abs/2610.36459
AB - Consider the countably infinite reduced free product D of copies of (C([0,1]),λ), where λ is Lebesgue measure. It is proved that finite and countable reduced free products of unital separable nuclear UCT 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.
ER -