Remarks on Villadsen algebras
George A. Elliott, Chun Guang Li, Zhuang Niu
TL;DR
This paper discusses the classification of specific Villadsen algebras, a class of unital simple C*-algebras, using their K0-group and radius of comparison, advancing understanding in operator algebra classification.
Contribution
It demonstrates that Villadsen algebras can be classified by K0-group and radius of comparison, providing a new classification criterion.
Findings
Villadsen algebras are classified by K0-group and radius of comparison.
The classification extends understanding of simple unital C*-algebras.
The results offer a new perspective on algebra invariants used for classification.
Abstract
It is shown that certain unital simple C*-algebras constructed by Villadsen are classified by the K0-group together with radius of comparison.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Algebra and Logic