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• W2950617358 abstract "For an action of a finite group on a C*-algebra, we present some conditions under which properties of the C*-algebra pass to the crossed product or the fixed point algebra. We mostly consider the ideal property, the projection property, topological dimension zero, and pure infiniteness. In many of our results, additional conditions are necessary on the group, the algebra, or the action. Sometimes the action must be strongly pointwise outer, and in a few results it must have the Rokhlin property. When the group is finite abelian, we prove that crossed products and fixed point algebras preserve topological dimension zero with no condition on the action. We give an example to show that the ideal property and the projection property do not pass to fixed point algebras (even for the two element group). The construction also gives an example of a C*-algebra which does not have the ideal property but such that the algebra of 2 by 2 matrices over it does have the ideal property; in fact, this matrix algebra has the projection property." @default.
• W2950617358 created "2019-06-27" @default.
• W2950617358 creator A5062916209 @default.
• W2950617358 creator A5071473075 @default.
• W2950617358 date "2012-08-19" @default.
• W2950617358 modified "2023-09-27" @default.
• W2950617358 title "Permanence properties for crossed products and fixed point algebras of finite groups" @default.
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