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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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