%0 Journal Article %T On the equivalence of the definitions of volume of representations %A Sungwoon Kim %J Mathematics %D 2014 %I arXiv %X Let G be a rank 1 simple Lie group and M be a connected orientable aspherical tame manifold. Assume that each end of M has amenable fundamental group. There are several definitions of volume of representations of the fundamental group of M into G. We give a new definition of volume of representations and furthermore, show that all definitions so far are equivalent. %U http://arxiv.org/abs/1404.3822v1