Homotopy of inner automorphism groups of Cuntz algebras

Taro Sogabe

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arXiv · 2607.16755

Homotopy of inner automorphism groups of Cuntz algebras

Taro Sogabe

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Abstract

We show that the inner automorphism groups and automorphism groups of the Cuntz algebras have the same homotopy groups. In particular, the homotopy types of the inner automorphism groups and the projective unitary groups of Cuntz algebras are different.

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Taro Sogabe. 2026-07-18. Homotopy of inner automorphism groups of Cuntz algebras. https://arxiv.org/abs/2607.16755

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