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20192026
most citedThe group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra

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math.OA2026

Homotopy of inner automorphism groups of Cuntz algebras

Taro Sogabe

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…

math.OA2026

A class of Exel--Laca algebras reciprocal to Cuntz--Krieger algebras

Kengo Matsumoto, Taro Sogabe

The reciprocality means a duality in Kirchberg algebras between K-theory groups and strong extension groups. In the paper, we will find a certain class of unital simple Exel--Laca…