The homotopy groups of the automorphism groups of Cuntz–Toeplitz algebras

The homotopy groups of the automorphism groups of Cuntz–Toeplitz algebras
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Cuntz-Toeplitz 代数自同构群的同伦群

DOI:
10.2969/jmsj/82338233
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发表时间:
2019
影响因子:
0.7
通讯作者:
Taro Sogabe
Taro Sogabe
中科院分区:
数学4区
文献类型:
--
作者:
Taro Sogabe

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Cuntz-Toeplitz代数E_{n+1}$(n\geq 1 $)是由n+1$个值域相互正交的等距生成的泛C*-代数。本文研究了Cuntz-Toeplitz代数的自同构群,并确定了它们的同伦群。
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 the Cuntz-Toeplitz algebras and determine their homotopy groups.