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

共 50 条

[11] NORMAL GENERATION OF UNITARY GROUPS OF CUNTZ ALGEBRAS BY INVOLUTIONS
Al-Rawashdeh, A.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2008, 77 (01): : 1 - 7
[12] GROUPS OF ISOMETRIES ON OPERATOR ALGEBRAS-II
PEDERSEN, S
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1988, 18 (04) : 753 - 765
[13] Groups of linear isometries on multiplier C*-algebras
D'Antoni, C
Zsidó, L
PACIFIC JOURNAL OF MATHEMATICS, 2000, 193 (02) : 279 - 306
[14] Fixed Points of Compact Quantum Groups Actions on Cuntz Algebras
Olivier Gabriel
Annales Henri Poincaré, 2014, 15 : 1013 - 1036
[15] CUNTZ-KRIEGER ALGEBRAS ASSOCIATED WITH FUCHSIAN-GROUPS
SPIELBERG, JS
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1993, 13 : 581 - 595
[16] Representations of Higman-Thompson groups from Cuntz algebras
Araujo, Francisco
Pinto, Paulo R.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 509 (02)
[17] REPRESENTATIONS OF FINITE-GROUPS AND CUNTZ-KRIEGER ALGEBRAS
MANN, MH
RAEBURN, I
SUTHERLAND, CE
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 46 (02) : 225 - 243
[18] Full groups of Cuntz-Krieger algebras and Higman-Thompson groups
Matsumoto, Kengo
Matui, Hiroki
GROUPS GEOMETRY AND DYNAMICS, 2017, 11 (02) : 499 - 531
[19] Fixed Points of Compact Quantum Groups Actions on Cuntz Algebras
Gabriel, Olivier
ANNALES HENRI POINCARE, 2014, 15 (05): : 1013 - 1036
[20] Isometries between groups of invertible elements in C*-algebras
Hatori, Osamu
Watanabe, Keiichi
STUDIA MATHEMATICA, 2012, 209 (02) : 103 - 106

← 1 2 3 4 5 →