Partial projective representations and partial actions

被引：23
|
作者：
Dokuchaev, M. [1 ]
Novikov, B. [2 ]
机构：
[1] Univ Sao Paulo, Inst Matemat & Estatist, BR-05508090 Sao Paulo, Brazil
[2] Kharkov Natl Univ, UA-61077 Kharkov, Ukraine
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2010年 / 214卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
TWISTED PARTIAL ACTIONS; C-ASTERISK-ALGEBRAS; CROSSED-PRODUCTS; MULTIPLIERS; SEMIGROUPS;
D O I：
10.1016/j.jpaa.2009.05.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The concept of a partial projective representation of a group is introduced and studied. The interaction with partial actions is explored. It is shown that the factor sets of partial projective representations over a field K are exactly the K-valued twistings of crossed products by partial actions. (C) 2009 Elsevier B.V. All rights reserved.
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页码：251 / 268
页数：18
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