# Tensor products and regularity properties of Cuntz semigroups

@article{Antoine2014TensorPA,
title={Tensor products and regularity properties of Cuntz semigroups},
author={Ramon Antoine and Francesc Perera and Hannes Thiel},
journal={arXiv: Operator Algebras},
year={2014}
}
• Published 2 October 2014
• Mathematics
• arXiv: Operator Algebras
The Cuntz semigroup of a C*-algebra is an important invariant in the structure and classification theory of C*-algebras. It captures more information than K-theory but is often more delicate to handle. We systematically study the lattice and category theoretic aspects of Cuntz semigroups. Given a C*-algebra $A$, its (concrete) Cuntz semigroup $Cu(A)$ is an object in the category $Cu$ of (abstract) Cuntz semigroups, as introduced by Coward, Elliott and Ivanescu. To clarify the distinction…
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