Exotic circle actions on classifiable C∗-algebras

被引:0
作者
Hirshberg, Ilan [1 ]
机构
[1] Ben Gurion Univ Negev, Dept Math, POB 653, IL-84105 Beer Sheva, Israel
基金
以色列科学基金会;
关键词
C*-algebras; Crossed products; Elliott classification program; C-ASTERISK-ALGEBRA; ROKHLIN DIMENSION; CROSSED-PRODUCTS; FINITE; RANK;
D O I
10.1016/j.jfa.2023.110296
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct an example of a simple nuclear separable unital stably finite Z-stable C*-algebra along with an action of the circle such that the crossed product is simple but not Z-stable. (c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数:12
相关论文
共 50 条
[21]   PARTIAL PONTRYAGIN DUALITY FOR ACTIONS OF QUANTUM GROUPS ON C*-ALGEBRAS [J].
Kitamura, Kan .
JOURNAL OF OPERATOR THEORY, 2025, 93 (01) :173-216
[22]   C*-algebras of endomorphisms of groups with finite cokernel and partial actions [J].
Vieira, Felipe .
ILLINOIS JOURNAL OF MATHEMATICS, 2021, 65 (01) :19-46
[23]   Amenability and Weak Containment for Actions of Locally Compact Groups on C ∗-Algebras [J].
Buss, Alcides ;
Echterhoff, Siegfried ;
Willett, Rufus .
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 301 (1513)
[24]   Equivariant C∗-correspondences and compact quantum group actions on Pimsner algebras [J].
Bhattacharjee, Suvrajit ;
Joardar, Soumalya .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2025, 77 (01) :57-96
[26]   C*-ALGEBRAS FROM ACTIONS OF CONGRUENCE MONOIDS ON RINGS OF ALGEBRAIC INTEGERS [J].
Bruce, Chris .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (01) :699-726
[27]   Noncommutative numerable principal bundles from group actions on C*-algebras [J].
Tobolski, Mariusz .
JOURNAL OF GEOMETRY AND PHYSICS, 2024, 200
[28]   FINITE GROUP ACTIONS ON CERTAIN STABLY PROJECTIONLESS C*-ALGEBRAS WITH THE ROHLIN PROPERTY [J].
Nawata, Norio .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (01) :471-493
[29]   THE WEAK TRACIAL ROKHLIN PROPERTY FOR FINITE GROUP ACTIONS ON SIMPLE C*-ALGEBRAS [J].
Forough, Marzieh ;
Golestani, Nasser .
DOCUMENTA MATHEMATICA, 2020, 25 :2507-2552
[30]   Inclusions of C*-algebras [J].
Pasnicu, Cornel .
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2024, 67 (03) :305-319