DUALITY FOR GROUPOID (CO)ACTIONS

被引:10
作者
Paques, Antonio [1 ]
Flores, Daiana [2 ]
机构
[1] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
[2] Univ Fed Santa Maria, Dept Matemat, BR-97119900 Santa Maria, RS, Brazil
关键词
Cohen-Montgomery duality; Groupoid action; Groupoid coaction; WEAK HOPF-ALGEBRAS; ORDERED GROUPOIDS; GRADED RINGS; PRODUCTS; THEOREM;
D O I
10.1080/00927872.2012.720323
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article we present Cohen-Montgomery-type duality theorems for groupoid (co)actions.
引用
收藏
页码:637 / 663
页数:27
相关论文
共 50 条
[21]   ON A CONTINUOUS TRACE C*-GROUPOID ALGEBRA [J].
Tudor, Daniel .
MATHEMATICAL REPORTS, 2012, 14 (03) :307-315
[22]   NUCLEARITY AND EXACTNESS FOR GROUPOID CROSSED PRODUCTS [J].
Lalonde, Scott M. .
JOURNAL OF OPERATOR THEORY, 2015, 74 (01) :213-245
[23]   Partial Group (Co)Actions of Hopf Group Coalgebras [J].
Chen, Quan-guo ;
Wang, Ding-guo .
FILOMAT, 2014, 28 (01) :131-151
[24]   Hopf algebras arising from partial (co)actions [J].
Azevedo, Danielle ;
Martini, Grasiela ;
Paques, Antonio ;
Silva, Leonardo .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (01)
[25]   Canonical extensions of the Johnson homomorphisms to the Torelli groupoid [J].
Bene, Alex James ;
Kawazumi, Nariya ;
Penner, R. C. .
ADVANCES IN MATHEMATICS, 2009, 221 (02) :627-659
[26]   On Persson's formula: an etale groupoid approach [J].
Mantoiu, Marius .
ISRAEL JOURNAL OF MATHEMATICS, 2022, 249 (02) :899-933
[27]   The homology of the Katsura-Exel-Pardo groupoid [J].
Ortega, Eduard .
JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2020, 14 (03) :913-935
[28]   On the structure of skew groupoid rings which are Azurnaya [J].
Flores, Daiana ;
Paques, Antonio .
ALGEBRA & DISCRETE MATHEMATICS, 2013, 16 (01) :71-80
[29]   Artinian and noetherian partial skew groupoid rings [J].
Nystedt, Patrik ;
Oinert, Johan ;
Pinedo, Hector .
JOURNAL OF ALGEBRA, 2018, 503 :433-452
[30]   THE IDEAL INTERSECTION PROPERTY FOR GROUPOID GRADED RINGS [J].
Oinert, Johan ;
Lundstrom, Patrik .
COMMUNICATIONS IN ALGEBRA, 2012, 40 (05) :1860-1871