de Mathématiques de Luminy
Excision and the Hodge filtration in the periodic cyclic homology : the case of splitting and invertible extensions.
In the present paper we continue our investigation [Pu] of the dimension shift under the excision isomorphism and the boundary map in periodic cyclic (co)homology. We evaluate the possible values of this shift in the case of splitting respectively invertible algebra extensions. For them we obtain considerably lower bounds than those valid for general extensions [Pu].