Dixmier Traces and Unitary Representations

被引：0
|
作者：
R. S. Ismagilov
机构：
[1] Baumann Moscow State Technical University,
来源：
Functional Analysis and Its Applications | 2001年 / 35卷
关键词：
Hilbert Space; Functional Analysis; Topological Group; Unitary Representation; Operator Trace;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：34 / 43
页数：9
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