CONVOLUTION ALGEBRAS FOR TOPOLOGICAL GROUPOIDS WITH LOCALLY COMPACT FIBRES

被引：2
|
作者：
Buneci, Madalina Roxana [1 ]
机构：
[1] Constantin Brancusi Univ Targu Jiu, Str Geneva 3, Targu Jiu 210136, Romania
来源：
OPUSCULA MATHEMATICA | 2011年 / 31卷 / 02期
关键词：
convolution algebra; groupoid; uniform continuity; Haar system;
D O I：
10.7494/OpMath.2011.31.2.159
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to introduce various convolution algebras associated with a topological groupoid with locally compact fibres. Instead of working with continuous functions on G, we consider functions having a uniformly continuity property on fibres. We assume that the groupoid is endowed with a system of measures (supported on its fibres) subject to the "left invariance" condition in the groupoid sense.
引用
收藏
页码：159 / 172
页数：14
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