Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
The homotopy groups of the automorphism groups of Cuntz–Toeplitz algebras
Taro Sogabe
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2020 Volume 72 Issue 3 Pages 959-989

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Abstract

The Cuntz–Toeplitz algebra 𝐸𝑛+1 for 𝑛 ≥ 1 is the universal C*-algebra generated by 𝑛 + 1 isometries with mutually orthogonal ranges. In this paper, we determine the homotopy groups of the automorphism group of 𝐸𝑛+1.

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