ERGODIC ACTIONS OF CONVERGENT FUCHSIAN GROUPS ON QUOTIENTS OF THE NONCOMMUTATIVE HARDY ALGEBRAS

被引：5

作者：

Arias, Alvaro ^{[1
]}

Latremoliere, Frederic ^{[1
]}

机构：

[1] Univ Denver, Dept Math, Denver, CO 80208 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 07期

关键词：

Noncommutative Hardy algebras; Fock spaces; Fuchsian group; Mobius transformations; automorphisms of operator algebras;

D O I：

10.1090/S0002-9939-2011-10794-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish that particular quotients of the noncommutative Hardy algebras carry ergodic actions of convergent discrete subgroups of the group SU(n, 1) of automorphisms of the unit ball in C-n. To do so, we provide a mean to compute the spectra of quotients of noncommutative Hardy algebra and characterize their automorphisms in terms of biholomorphic maps of the unit ball in C-n.

引用

页码：2485 / 2496

页数：12

共 13 条

[1]

[Anonymous], 1992, FUNCTION THEORY SEVE

[2]

Arias A., J OPER THEO IN PRESS

[3] Subalgebras of C*-algebras III: Multivariable operator theory [J].