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

Published 7 Apr 2025 in math.OA | (2504.05145v2)

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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Authors (2)

  1. Ryoya Arimoto 
  2. Taro Sogabe 

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