Opuscula Mathematica
Opuscula Math. 31, no. 2 (), 159-172
Opuscula Mathematica

Convolution algebras for topological groupoids with locally compact fibres

Abstract. 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.
Keywords: convolution algebra, groupoid, uniform continuity, Haar system.
Mathematics Subject Classification: 22A22, 43A10.
Cite this article as:
Mădălina Roxana Buneci, Convolution algebras for topological groupoids with locally compact fibres, Opuscula Math. 31, no. 2 (2011), 159-172, http://dx.doi.org/10.7494/OpMath.2011.31.2.159
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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