Globalizations of partial actions on nonunital rings

被引：32

作者：

Dokuchaev, Michael ^{[1
]}

Del Rio, Angel

Simon, Juan Jacobo

机构：

[1] Univ Sao Paulo, Dept Matemat, BR-05508 Sao Paulo, Brazil

[2] Univ Murcia, Dept Matemat, E-30001 Murcia, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 02期

关键词：

D O I：

10.1090/S0002-9939-06-08503-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove a criteria for the existence of a globalization for a given partial action of a group on an s-unital ring. If the globalization exists, it is unique in a natural sense. This extends the globalization theorem from Dokuchaev and Exel, 2005, obtained in the context of rings with 1.

引用

页码：343 / 352

页数：10

共 19 条

[1] On partial actions and groupoids [J].

Abadie, F .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (04) :1037-1047

[2] Enveloping actions and Takai duality for partial actions [J].

Abadie, F .

JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 197 (01) :14-67

[3] Approximating rings with local units via automorphisms [J].

Abrams, G ;

Haefner, J ;

Del Río, A .

ACTA MATHEMATICA HUNGARICA, 1999, 82 (03) :229-248

[4]

CORTES W, PARTIAL SKEW POLYNOM

[5] CLASS OF CSTAR-ALGEBRAS AND TOPOLOGICAL MARKOV-CHAINS [J].

CUNTZ, J ;

KRIEGER, W .

INVENTIONES MATHEMATICAE, 1980, 56 (03) :251-268

[6] Associativity of crossed products by partial actions, enveloping actions and partial representations [J].

Dokuchaev, M ;

Exel, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (05) :1931-1952

[7]

DOKUCHAEV M, PARTIAL GALOIS THEOR

[8] CIRCLE-ACTIONS ON C-ASTERISK-ALGEBRAS, PARTIAL AUTOMORPHISMS, AND A GENERALIZED PIMSNER-VOICULESCU EXACT SEQUENCE [J].

EXEL, R .

JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 122 (02) :361-401

[9]

Exel R, 1999, J REINE ANGEW MATH, V512, P119

[10]

Exel R, 1997, J REINE ANGEW MATH, V492, P41

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