Remarks on Villadsen algebras, II: A generalized construction and the comparison radius function
Operator Algebras
2025-12-05 v2
Abstract
The authors' recent classification of Jesper Villadsen's remarkable generalization (based on a self-reproducing seed space) of Glimm's infinite tensor product (UHF) C*-algebras, by means of the Cuntz semigroup (in the case of a fixed, well-behaved, seed space), is extended to the analogous generalization of Bratteli's approximately finite-dimensional (AF) C*-algebras. Some progress is made in the direction of distinguishing between algebras based on different seed spaces.
Keywords
Cite
@article{arxiv.2510.13695,
title = {Remarks on Villadsen algebras, II: A generalized construction and the comparison radius function},
author = {George A. Elliott and Zhuang Niu},
journal= {arXiv preprint arXiv:2510.13695},
year = {2025}
}
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39 pages