The generalized Picard groups for finite dimensional C*-Hopf algebra coactions on unital C*-algebras

被引：0
作者：
Kodaka, Kazunori [1 ]
机构：
[1] Univ Ryukyus, Fac Sci, Dept Math Sci, Nishihara, Okinawa 9010213, Japan
来源：
TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 05期
关键词：
C*-algebra; C*-Hopf algebra; inclusion; Picard group; strong Morita equivalence; STRONG MORITA EQUIVALENCE; CROSSED-PRODUCTS; STABLE ISOMORPHISM; SATURATED ACTIONS; INCLUSIONS; BIMODULES;
D O I：
10.3906/mat-1905-37
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We shall generalize the notion of the strong Morita equivalence for coactions of a finite dimensional C*-Hopf algebra on a unital C*-algebra and define the Picard groups with respect to the generalized strong Morita equivalence. We call them the generalized Picard groups for coactions of a finite dimensional C*-Hopf algebra on a unital C*-algebra. We shall investigate basic properties of the generalized Picard groups and clarify the relation between the generalized Picard groups and the Picard groups for unital inclusions of unital C*-algebras.
引用
收藏
页码：2511 / 2539
页数：29
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