Correction to the article Topological invariance of quantum quaternion spheres

Bipul Saurabh

Vol. 344 (2026), No. 2, 475–477

DOI: 10.2140/pjm.2026.344.475

Correction to Pacific Journal of Mathematics 288:2 (2017) 435–452

Abstract

We previously explicitly described all homogeneous extensions ${\varphi }_m$, $m\in \mathbb{Z}$, of $C(S_0^{2\ell +1})$ by $C(\mathbb{𝕋})\otimes \mathcal{𝒦}$ (Pacific J. Math. 288:2 (2017), 435–452). However, for $m=0$, the given extension is not homogeneous. In this corrigendum, we correct this mistake by constructing a trivial homogeneous extension of $C(S_0^{2\ell +1})$ by $C(\mathbb{𝕋})\otimes \mathcal{𝒦}$. The $K_0$-groups of the middle $C^{\ast }$-algebra turn out to be the same as those mentioned in the original article. Consequently, the proofs of all results in that paper remain valid.

Keywords

homogeneous extension, quantum double suspension, corona algebra

Mathematical Subject Classification

Primary: 19K33

Secondary: 46L80, 58B34

Milestones

Received: 6 February 2026

Accepted: 29 May 2026

Published: 8 September 2026