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.

引用

页码：1799 / 1815

页数：17

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