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Ordered groups and
crossed products of Cā-algebras
Gerard J. Murphy |
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Vol. 148 (1991), No. 2, 319ā349
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Abstract |
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We define and analyse the concept of a crossed product of a C∗-algebra A by a semigroup. For a large class of semigroups we show that the crossed product is primitive if A is, and our constructions also give rise to simple C∗-algebras. Conditions are given for when the crossed product is type I or nuclear, and when covariant representations of a C∗-dynamical system give rise to faithful and/or irreducible representations of the crossed product. |
Mathematical Subject Classification 2000
Primary: 46L55
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Milestones
Received: 1 May 1989
Revised: 1 October 1989
Published: 1 April 1991
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Authors |
| Gerard J. Murphy | |
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