OUTER AUTOMORPHISMS ON CUNTZ ALGEBRAS

被引：20
|
作者：
MATSUMOTO, K [1 ]
TOMIYAMA, J [1 ]
机构：
[1] TOKYO METROPOLITAN UNIV,DEPT MATH,MINAMI OHSAWA 1-1,HACHIOJI,TOKYO 19203,JAPAN
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1993年 / 25卷
关键词：
D O I：
10.1112/blms/25.1.64
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that if an automorphism alpha on the Cuntz algebra O(n) satisfies alpha(S1) = lambdaS1 for one isometry S1 of generators S1,...,S(n) such that SIGMA(i=1)n S(i) S(i)* = 1, S(i)* S(i) = 1, 1 less-than-or-equal-to i less-than-or-equal-to n and a complex number lambda with modulus one, then it is outer* In particular, any non trivial automorphism on O(n) leaving one generator fixed is outer.
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页码：64 / 66
页数：3
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