Crossed products of C*-correspondences by amenable group actions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:345

Article

Hao, Gai^1,2  Ng, Chi-Keung^2,3 

[1] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

关键词: crossed products;    augmented Cuntz-Pimsner algebra;    C*-correspondences;   

DOI  :  10.1016/j.jmaa.2008.04.058

来源: Elsevier

【 摘 要 】

Let (X, A, phi) be a C*-correspondence with a continuous action (gamma, alpha) by an amenable locally compact group G. We will show that if (X x(gamma) G, A x(alpha), G, psi) is the induced C*-correspondence and P is the induced action on O-X, then O-x x(beta) G congruent to O-Xx gamma G. As applications, we obtain [B. Abadie, Takai duality for crossed products by Hilbert C*-modules, preprint arXiv:0709.1122v1, Proposition 4.5] and [A. Kumjian, D. Pask, C*-algebras of directed graphs and group actions, Ergodic Theory Dynam. Systems 19 (6) (1999) 15031519, Corollary 2.5]. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free