%0 Journal Article %T Convolution algebras for topological groupoids with locally compact fibres %A M£żd£żlina Roxana Buneci %J Opuscula Mathematica %D 2011 %I AGH University of Science and Technology %X 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. %K convolution algebra %K groupoid %K uniform continuity %K Haar system %U http://www.opuscula.agh.edu.pl/vol31/2/art/opuscula_math_3112.pdf