The Reciprocal Kirchberg Algebras
Operator Algebras
2022-08-30 v3 K-Theory and Homology
Abstract
For two unital Kirchberg algebras with finitely generated K-groups, we introduce a property, called reciprocality, which is proved to be closely related to the homotopy theory of Kirchberg algebras. We show the Spanier--Whitehead duality for bundles of separable nuclear UCT C*-algebras with finitely generated K-groups and conclude that two reciprocal Kirchberg algebras share the same structure of their bundles.
Keywords
Cite
@article{arxiv.2204.11199,
title = {The Reciprocal Kirchberg Algebras},
author = {Taro Sogabe},
journal= {arXiv preprint arXiv:2204.11199},
year = {2022}
}