1 citations · 1 across the 4 of their papers we have counts for
5 papers
Total extension groups for unital Kirchberg algebras
Kengo Matsumoto, Taro Sogabe
We introduce a hierarchy for unital Kirchberg algebras with finitely generated K-groups by which the first and second homotopy groups of the automorphism groups serve as a complete…
A topological invariant for continuous fields of Cuntz algebras II
Sogabe Taro
We investigate an invariant for continuous fields of the Cuntz algebra introduced in our previous work, and find a way to obtain a continuous field of $\mathbb{…
A topological invariant for continuous fields of the Cuntz algebras
Taro Sogabe
For a continuous field of the Cuntz algebra over a finite CW complex, we introduce a topological invariant, which is an element in Dadarlat-Pennig's generalized cohomology group, a…
The homotopy groups of the automorphism groups of Cuntz-Toeplitz algebras
Taro Sogabe
The Cuntz-Toeplitz algebra for is the universal C*-algebra generated by isometries with mutually orthogonal ranges. In this paper, we investigate the autom…
The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra
Masaki Izumi, Taro Sogabe
We determine the group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra for finite n in terms of K-theory. We show that there is…