The structure of invariant ideals of some subalgebras of Toeplitz algebra

被引：0

作者：

E. V. Lipacheva

K. H. Hovsepyan

机构：

[1] Kazan State Power Engineering University,

来源：

Journal of Contemporary Mathematical Analysis | 2015年 / 50卷

关键词：

Index of monomial; Toeplitz algebra; irreducible representation; C*-algebra; invariant subalgebra; short faithful sequence; invariant ideal; 46L05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we give a complete description of invariant ideals of C*-subalgebras of Toeplitz algebra that are fixed with respect to a finite group of automorphisms. The splitting property of short exact sequences generated by such ideals is established.

引用

页码：70 / 79

页数：9

共 50 条

[41] Some subalgebras of the algebra of bounded linear operators of the one variable Tate algebra
Diarra, Bertin
ADVANCES IN P-ADIC AND NON-ARCHIMEDEAN ANALYSIS, 2010, 508 : 13 - 34
[42] N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA
Lee, Kyoung Ja
Jun, Young Bae
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (04): : 645 - 651
[43] STRUCTURE OF IDEALS OF DUAL ALGEBRA OF A COALGEBRA
RADFORD, DE
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 198 (OCT) : 123 - 137
[44] ON THE SEMIGROUPS OF FULLY INVARIANT IDEALS OF THE FREE GROUP-ALGEBRA AND THE FREE ASSOCIATIVE ALGEBRA
VOVSI, SM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 119 (04) : 1029 - 1037
[45] ABELIAN SUBALGEBRAS AND THE JORDAN STRUCTURE OF A VON NEUMANN ALGEBRA
Doring, Andreas
Harding, John
HOUSTON JOURNAL OF MATHEMATICS, 2016, 42 (02): : 559 - 568
[46] Structure of maximal commutative subalgebras of the first Weyl Algebra
Bavula V.V.
Annali dell’Università di Ferrara, 2005, 51 (1): : 1 - 14
[47] INVARIANT SUBALGEBRAS OF THE SMALL MATHEMATICAL SCRIPT CAPITAL N=4 SUPERCONFORMAL ALGEBRA
Creutzig, Thomas
Linshaw, Andrew R.
Riedler, Wolfgang
TRANSFORMATION GROUPS, 2022, 27 (03) : 797 - 832
[48] A Note on C*-Algebra of Toeplitz Operators with L-Invariant Symbols
Bais, Shubham R.
Naidu, D. Venku
COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (06)
[49] PROPERTIES OF SOME PRIME IDEALS OF AN ENVELOPING ALGEBRA
LEVASSEUR, T
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 286 (13): : 583 - 586
[50] Banach Lie algebras with Lie subalgebras of finite codimension: Their invariant subspaces and Lie ideals
Kissin, Edward
Shulman, Victor S.
Turovskii, Yurii V.
JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (02) : 323 - 351

← 1 2 3 4 5 →