A classification of anomalous actions through model action absorption

被引:0
|
作者
Giron Pacheco, Sergio [1 ]
机构
[1] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B, B-3001 Leuven, Belgium
来源
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2025年 / 77卷 / 03期
关键词
G-kernels; anomalous actions; classification; Rokhlin property; C-ASTERISK-ALGEBRAS; FINITE-GROUP ACTIONS; PERIODIC AUTOMORPHISMS; ROHLIN PROPERTY; AMENABLE GROUP;
D O I
10.4153/S0008414X2400018X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We discuss a strategy for classifying anomalous actions through model action absorption. We use this to upgrade existing classification results for Rokhlin actions of finite groups on C $<^>*$ -algebras, with further assuming a UHF-absorption condition, to a classification of anomalous actions on these C $<^>*$ -algebras.
引用
收藏
页码:916 / 939
页数:24
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