GROUPS OF ISOMETRIES OF THE CUNTZ ALGEBRAS

被引：0
|
作者：
Conti, Roberto [1 ]
Rossi, Stefano [2 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via A Scarpa 16, I-00161 Rome, Italy
[2] Univ Bari Aldo Moro, Dipartimento Matemat, Via Edoardo Orabona 4, I-70125 Bari, Italy
来源：
DOCUMENTA MATHEMATICA | 2021年 / 26卷
关键词：
Cuntz algebra; automorphism; gauge action; UHF algebra; KMS state; spectral triple; Connes distance; isometry group; noncommutative geometry of type III factors; C-ASTERISK-ALGEBRAS; LOCALIZED AUTOMORPHISMS; WEYL GROUP; METRICS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a new interpretation of the group of Bogolubov automorphisms of the Cuntz algebras O-n and the group Aut(O-n, F-n) of all automorphisms preserving the UHF subalgebra F-n subset of O-n as the isometry groups coming from two distinct spectral triples on O-n.
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页码：1799 / 1815
页数：17
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