Dixmier traces and unitary representations

被引：2

作者：

Ismagilov, RS ^{[1
]}

机构：

[1] Baumann Moscow State Tech Univ, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2001年 / 35卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Hilbert Space; Functional Analysis; Topological Group; Unitary Representation; Operator Trace;

D O I：

10.1023/A:1004120500069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As is known, for any two given unitary representations of a topological group in Hilbert spaces, a new unitary representation in the corresponding space of Hilbert-Schmidt mappings can be defined. In the paper, a modification of this construction is suggested that uses the Dixmier trace (instead of the ordinary operator trace). The case of the group of second-order real unimodular matrices is studied in detail.

引用

页码：34 / 43

页数：10

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