Pure Infiniteness of the Crossed Product of an AH-Algebra by an Endomorphism
Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 705-720
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It is shown that simplicity of the crossed product of a unital $\text{AH}$ -algebra with slow dimension growth by an endomorphism implies that the algebra is also purely infinite, provided only that the endomorphism leaves no trace state invariant and takes the unit to a full projection.
Thomsen, Klaus. Pure Infiniteness of the Crossed Product of an AH-Algebra by an Endomorphism. Canadian journal of mathematics, Tome 64 (2012) no. 3, pp. 705-720. doi: 10.4153/CJM-2011-081-4
@article{10_4153_CJM_2011_081_4,
author = {Thomsen, Klaus},
title = {Pure {Infiniteness} of the {Crossed} {Product} of an {AH-Algebra} by an {Endomorphism}},
journal = {Canadian journal of mathematics},
pages = {705--720},
year = {2012},
volume = {64},
number = {3},
doi = {10.4153/CJM-2011-081-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-081-4/}
}
TY - JOUR AU - Thomsen, Klaus TI - Pure Infiniteness of the Crossed Product of an AH-Algebra by an Endomorphism JO - Canadian journal of mathematics PY - 2012 SP - 705 EP - 720 VL - 64 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-081-4/ DO - 10.4153/CJM-2011-081-4 ID - 10_4153_CJM_2011_081_4 ER -
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