$C^*$-diagonal of inductive limit of $1$-dimensional NCCW complexes

Dolapo Oyetunbi

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arXiv · 2505.04011

$C^*$-diagonal of inductive limit of $1$-dimensional NCCW complexes

Dolapo Oyetunbi

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Abstract

This paper establishes the existence of a $C^*$-diagonal in the inductive limit of 1-dimensional NCCW complexes with trivial $K_1$-groups. It also examines some limitations and implications of approximating $^*$-homomorphisms between two such complexes.

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Dolapo Oyetunbi. 2025-05-06. $C^*$-diagonal of inductive limit of $1$-dimensional NCCW complexes. https://arxiv.org/abs/2505.04011

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