RT journal article
T1 Purely infinite crossed products by endomorphisms
A1 Ortega, E.
A1 Pardo Espino, Enrique
A2 Matemáticas
K1 Crossed product
K1 Dilation
K1 Shift endomorphism
K1 Rokhlin property
K1 Purely infinite
AB 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.
SN 0022-247X
YR 2014
FD 2014-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16102
UL http://hdl.handle.net/10498/16102
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026