%0 Journal Article 
%A Ortega, E.
%A Pardo Espino, Enrique
%T Purely infinite crossed products by endomorphisms
%D 2014
%@ 0022-247X
%U http://hdl.handle.net/10498/16102
%X We study the crossed product C⁎C⁎-algebra associated to injective endomorphisms, which turns out to be equivalent to study the crossed product by the dilated automorphism. We prove that the dilation of the Bernoulli p  -shift endomorphism is topologically free. As a consequence, we have a way to twist any endomorphism of a DD-absorbing C⁎C⁎-algebra into one whose dilated automorphism is essentially free and have the same K  -theory map than the original one. This allows us to construct purely infinite crossed products C⁎C⁎-algebras with diverse ideal structures.
%K Crossed product
%K Dilation
%K Shift endomorphism
%K Rokhlin property
%K Purely infinite
%~ Universidad de Cádiz