Symmetry in the Cuntz algebra on two generators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Choi, Man-Duen²  Latremoliere, Frederic¹ 

[1] Univ Denver, Dept Math, Denver, CO 80208 USA

[2] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada

关键词: Finite group action;    Proper isometries;    Cuntz algebras;    Fixed point C*-algebra;    C*-crossed-product;   

DOI  :  10.1016/j.jmaa.2011.10.008

来源: Elsevier

【 摘 要 】

We investigate the structure of the automorphism of O(2) which exchanges the two canonical isometries. Our main observation is that the fixed point C*-subalgebra for this action is isomorphic to O(2) and we detail the relationship between the crossed-product and fixed point subalgebra. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free