MORE LOCALIZED AUTOMORPHISMS OF THE CUNTZ ALGEBRAS

被引：13

作者：

Conti, Roberto ^{[2
]}

Kimberley, Jason ^{[2
]}

Szymanski, Wojciech ^{[1
,2
]}

机构：

[1] Univ So Denmark, Dept Math & Comp Sci, DK-5230 Odense M, Denmark

[2] Univ Newcastle, Sch Math & Phys Sci, Dept Math, Callaghan, NSW 2308, Australia

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2010年 / 53卷

关键词：

Cuntz algebra; endomorphism; automorphism; permutation; tree; ENDOMORPHISMS;

D O I：

10.1017/S0013091508000886

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We completely determine the localized automorphisms of the Cuntz algebras O(n) corresponding to permutation matrices in M(n) circle times M(n) for n = 3 and n = 4. This result is obtained through a combination of general combinatorial techniques and large scale computer calculations. Our analysis proceeds according to the general scheme proposed in a previous paper, where we analysed in detail the case of O(2) using labelled rooted trees. We also discuss those proper endomorphisms of these Cuntz algebras which restrict to automorphisms of their respective diagonals. In the case of O(3) we compute the number of automorphisms of the diagonal induced by permutation matrices in M(3) circle times M(3) circle times M(3).

引用

页码：619 / 631

页数：13

共 17 条

[1]

ARAKI H, 1984, J OPERAT THEOR, V12, P247

[2] FLIP-FLOP AUTOMORPHISM OF C-STAR(S1,S2) [J].