Comparing direct limit and inverse limit of even $K$-groups in non-commutative $p$-adic Lie extensions

Meng Fai Lim

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arXiv · 2410.06826

Comparing direct limit and inverse limit of even $K$-groups in non-commutative $p$-adic Lie extensions

Meng Fai Lim

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Abstract

In a previous paper of the author, we establish a duality for the direct limit and the inverse limit of higher even $K$-groups over a $\mathbb{Z}_p^d$-extension. In this paper, we shall establish such a duality over certain non-commutative $p$-adic Lie extensions.

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Meng Fai Lim. 2024-10-09. Comparing direct limit and inverse limit of even $K$-groups in non-commutative $p$-adic Lie extensions. https://arxiv.org/abs/2410.06826

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