Applications of $\mathrm {C}^*$-classification
Volume 130 / 2026
Banach Center Publications 130 (2026), 29-57
MSC: Primary 46L35; Secondary 46L85
DOI: 10.4064/bc130-2
Abstract
We provide some background on the category of classifiable $\mathrm C^*$-algebras, whose objects are infinite-dimensional, simple, separable, unital $\mathrm C^*$-algebras that have finite nuclear dimension and satisfy the universal coefficient theorem, and describe some applications of the classification of objects in, and morphisms into, this category.
