TY - JOUR ID - Buneci2011 LB - Buneci2011 AU - Buneci, Mădălina Roxana TI - Convolution algebras for topological groupoids with locally compact fibres ST - Convolution algebras for topological groupoids with locally compact fibres JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2011 VL - 31 IS - 2 SP - 159 EP - 172 DO - http://dx.doi.org/10.7494/OpMath.2011.31.2.159 UR - http://dx.doi.org/10.7494/OpMath.2011.31.2.159 AB - 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. KW - convolution algebra KW - groupoid KW - uniform continuity KW - Haar system SN - 1232-9274 ER -