Invariant ideals of twisted crossed products

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We prove a result concerning the inclusion of non-trivial invariant ideals inside non-trivial ideals of a twisted crossed product. We will also give results concerning the primeness and simplicity of crossed products of twisted actions of locally compact groups on $C^*$-algebras.
A mistake in the sentance after the proof of Lemma 2 was corrected. We would like to thank Prof. Echterhoff for pointing out the mistake to us

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