Purely infinite crossed products by endomorphisms
Journal of Mathematical Analysis and Applications, ISSN: 0022-247X, Vol: 412, Issue: 1, Page: 466-477
2014
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Article Description
We study the crossed product 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 D -absorbing 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⁎ -algebras with diverse ideal structures.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022247X13009943; http://dx.doi.org/10.1016/j.jmaa.2013.10.078; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84890972025&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022247X13009943; https://dx.doi.org/10.1016/j.jmaa.2013.10.078
Elsevier BV
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