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arXiv · 2504.05145

Topological full groups arising from Cuntz and Cuntz-Toeplitz algebras and their crossed products

Ryoya Arimoto·Taro Sogabe
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Abstract

In this paper, we investigate the topological full groups arising from the Cuntz and Cuntz-Toeplitz algebras and their crossed products with the Cartan subalgebras of Cuntz and Cuntz-Toeplitz algebras. We study the normal subgroups and abelianization of these groups and completely determine the KMS states of the reduced crossed products with respect to some canonical gauge actions.

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Ryoya Arimoto, Taro Sogabe. 2025-04-07. Topological full groups arising from Cuntz and Cuntz-Toeplitz algebras and their crossed products. https://arxiv.org/abs/2504.05145

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