%0 Journal Article %T Partial Crossed Product of a group G vs Crossed Product of S(G) %A Ruy Exel %A Felipe Vieira %J Mathematics %D 2008 %I arXiv %X In this work we present a new definition to the Partial Crossed Product by actions of inverse semigroups in a C^*-algebra, without using the covariant representations as Sieben did in [5]. Also we present an isomorphism between the partial crossed products by partial actions of a group G and the partial crossed product by actions of S(G), an inverse semigroup associated to G introduced by Exel in [2]. %U http://arxiv.org/abs/0805.3674v1