Cuntz semigroups of compact-type Hopf C*-algebras
Operator Algebras
2018-02-21 v2 K-Theory and Homology
Abstract
The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism. We consider C*-algebras that have Hopf algebra structure, and find additional structure in their Cuntz semigroups, thus generalizing the equivariant Cuntz semigroup. We develop various aspects of the theory of such semigroups, and in particular, we give general results allowing classification results of the Elliott classification program to be extended to classification results for C*-algebraic quantum groups.
Keywords
Cite
@article{arxiv.1705.00572,
title = {Cuntz semigroups of compact-type Hopf C*-algebras},
author = {Dan Kucerovsky},
journal= {arXiv preprint arXiv:1705.00572},
year = {2018}
}
Comments
Keywords: Cuntz semigroup, Hopf algebras, equivariant Cuntz semigroup, C*-algebraic quantum groups, multiplicative unitaries