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

页码：2511 / 2539

页数：29

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

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