A topological invariant for continuous fields of Cuntz algebras

@article{Sogabe2020ATI,
  title={A topological invariant for continuous fields of Cuntz algebras},
  author={T. Sogabe},
  journal={Mathematische Annalen},
  year={2020},
  pages={1-27}
}
  • T. Sogabe
  • Published 17 February 2020
  • Mathematics
  • Mathematische Annalen
We wish to investigate continuous fields of the Cuntz algebras. The Cuntz algebras $${\mathcal {O}}_{n+1}, n\ge 1$$ O n + 1 , n ≥ 1 play an important role in the theory of operator algebras, and they are characterized by their K-groups $$K_0({\mathcal {O}}_{n+1})={\mathbb {Z}}_n$$ K 0 ( O n + 1 ) = Z n , the cyclic groups of order $$n\ge 1$$ n ≥ 1 . Since the mod n K-group for a compact Hausdorff space can be realized by the K-group of the trivial continuous field of $${\mathcal {O}}_{n+1}$$ O… 
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  • T. Sogabe
  • Mathematics
    Journal of the Mathematical Society of Japan
  • 2020
The Cuntz-Toeplitz algebra $E_{n+1}$ for $n\geq1$ is the universal C*-algebra generated by $n+1$ isometries with mutually orthogonal ranges. In this paper, we investigate the automorphism groups of
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