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Discrete product systems with twisted units
Published online by Cambridge University Press: 17 April 2009
Abstract
The spectral C*-algebra of the discrete product systems of H.T. Dinh is shown to be a twisted semigroup crossed product whenever the product system has a twisted unit. The covariant representations of the corresponding dynamical system are always faithful, implying the simplicity of these crossed products; an application of a recent theorem of G.J. Murphy gives their nuclearity. Furthermore, a semigroup of endomorphisms of B(H) having an intertwining projective semigroup of isometries can be extended to a group of automorphisms of a larger Type I factor.
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 52 , Issue 2 , October 1995 , pp. 317 - 326
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- Copyright © Australian Mathematical Society 1995
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