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July, 2020 The homotopy groups of the automorphism groups of Cuntz–Toeplitz algebras
Taro SOGABE
J. Math. Soc. Japan 72(3): 959-989 (July, 2020). DOI: 10.2969/jmsj/82338233

Abstract

The Cuntz–Toeplitz algebra $E_{n+1}$ for $n \geq 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 $E_{n+1}$.

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Taro SOGABE. "The homotopy groups of the automorphism groups of Cuntz–Toeplitz algebras." J. Math. Soc. Japan 72 (3) 959 - 989, July, 2020. https://doi.org/10.2969/jmsj/82338233

Information

Received: 20 March 2019; Published: July, 2020
First available in Project Euclid: 11 March 2020

zbMATH: 07257218
MathSciNet: MR4125853
Digital Object Identifier: 10.2969/jmsj/82338233

Subjects:
Primary: 46L80

Rights: Copyright © 2020 Mathematical Society of Japan

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Vol.72 • No. 3 • July, 2020
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