On the computation of spectra in free probability

被引：6
|
作者：
Lehner, F [1 ]
机构：
[1] Johannes Kepler Univ Linz, Insitut Anal & Numer, A-4040 Linz, Austria
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2001年 / 183卷 / 02期
关键词：
spectrum of convolution operator; free probability; free product group; random walk; Haagerup inequality;
D O I：
10.1006/jfan.2001.3748
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use free probability techniques to compute borders of spectra of non-hermitian operators in Finite von Neumann algebras which arise as "free sums" of "simple" operators. To this end, the resolvent is analyzed with the aid of the Haagerup inequality. Concrete examples coming from reduced C*-algebras of free product groups and leading to systems of polynomial equations illustrate the approach. (C) 2001 Academic Press.
引用
收藏
页码：451 / 471
页数：21
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