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arXiv · 2505.04117

Topology of KK-theory via inverse limits of discrete abelian groups

Arturo Jaime
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Abstract

This paper seeks to characterize some topological properties of pro-countable abelian topological groups. Using the Milnor exact sequence given by the controlled picture of $KK$-theory by Willett and Yu, we describe topological properties of the topological group $KK(A,B)$ with respect to the satisfaction of Mittag-Leffler and stability conditions of certain inverse systems.

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Arturo Jaime. 2025-05-07. Topology of KK-theory via inverse limits of discrete abelian groups. https://arxiv.org/abs/2505.04117

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