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On universal property of reciprocal Kirchberg algebras and uniquely ergodic automorphisms
Kengo Matsumoto, Taro Sogabe
Reciprocality in Kirchberg algebras with finitely generated K-groups is regarded as a K-theoretic duality through K-groups and strong extension groups. We will prove that the recip…
Ergodic automorphisms on Kirchberg algebras
Kengo Matsumoto, Taro Sogabe
Combining the theory of extensions of C*-algebras and the Pimsner construction, we show that every countable infinite discrete group admits an ergodic action on arbitrary unital Ki…
Topological full groups arising from Cuntz and Cuntz-Toeplitz algebras and their crossed products
Ryoya Arimoto, Taro Sogabe
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 Cun…
Reciprocal Cuntz--Krieger algebras
Kengo Matsumoto, Taro Sogabe
Reciprocality in Kirchberg algebras is a duality between strong extension groups and K-theory groups. We describe a construction of the reciprocal dual algebra $\widehat{\mathcal{A…