This paper develops and simulates a simple two sector DSGE model for studying aggregate inflation and output dynamics under sectoral adjustment asymmetries. The CES aggregate consumption bundle consists of two different groups of goods with imperfect substitutability between as well as within the groups. Allowing for different within group CES aggregators implies that the degree of substitutability between goods in a group is group-specific. To generate sector-specific price rigidities the model assumes sector-specific Calvo pricing. The paper focuses on potential post-shock divergences across sectors as well as on the implications for aggregate inflation and output of the sectoral asymmetries and identifies an important role for the sector...