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The ideal property in crossed products |
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| Authors: | Cornel Pasnicu |
| Institution: | Department of Mathematics and Computer Science, University of Puerto Rico, Box 23355, San Juan, Puerto Rico 00931-3355 |
| Abstract: | We describe the lattice of the ideals generated by projections and prove a characterization of the ideal property for ``large" classes of crossed products of commutative  -algebras by discrete, amenable groups; some applications are also given. We prove that the crossed product of a  -algebra with the ideal property by a group with the ideal property may fail to have the ideal property; this answers a question of Shuzhou Wang. |
| Keywords: | $C^*$-algebra the ideal property crossed product |
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