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arXiv · 2204.11199

The Reciprocal Kirchberg Algebras

Taro Sogabe
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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.

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Taro Sogabe. 2022-04-24. The Reciprocal Kirchberg Algebras. https://arxiv.org/abs/2204.11199

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