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

Dolapo Oyetunbi

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

Operator Algebras 2025-05-08 v1

Authors: Dolapo Oyetunbi

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.

Keywords

C*-diagonal inductive limit 1-dimensional NCCW complexes trivial K1-groups *-homomorphisms

Cite

@article{arxiv.2505.04011,
  title  = {$C^*$-diagonal of inductive limit of $1$-dimensional NCCW complexes},
  author = {Dolapo Oyetunbi},
  journal= {arXiv preprint arXiv:2505.04011},
  year   = {2025}
}

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