Von Neumann algebras associated with the group SL2(R)

被引：0

作者：

Wu, Wen Ming ^{[1
]}

机构：

[1] Chongqing Normal Univ, Sch Math & Comp Sci, Operat Res Lab, Chongqing 400047, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Rational actions; SL2(R); von Neumann algebras; compact operators;

D O I：

10.1007/s10114-011-9028-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M and N be the von Neumann algebras induced by the rational action of the group SL2(R) and its subgroup P on the upper half plane H. We have shown that N is spatial isomorphic to the group von Neumann algebra LP and characterized M and its commutant M' and gotten a generalization of the Mautner's lemma. It is also shown that the Berezin operator commutates with the Laplacian operator.

引用

页码：1697 / 1704

页数：8

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