Amenable Actions on Ill-Behaved Simple C*-Algebras

被引：0
|
作者：
Suzuki, Yuhei [1 ]
机构：
[1] Hokkaido Univ, Fac Sci, Dept Math, Kita 10,Nishi 8,Kita Ku, Sapporo, Hokkaido 0600810, Japan
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2025年 / 2025卷 / 05期
关键词：
REDUCED CROSSED-PRODUCTS; ROHLIN PROPERTY; FINITE; AUTOMORPHISMS; AMENABILITY; EXACTNESS; THEOREM;
D O I：
10.1093/imrn/rnaf033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By combining R & oslash;rdam's construction and the author's previous construction, we provide the first examples of amenable actions of non-amenable groups on simple separable nuclear C$<^>\ast $-algebras that are neither stably finite nor purely infinite. For free groups, we also provide unital examples. We arrange the actions so that the crossed products are still simple with both a finite and an infinite projection.
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页数：18
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