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
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.
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页码:159 / 172
页数:14
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