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Discrete product systems with twisted units

Published online by Cambridge University Press:  17 April 2009

Marcelo Laca
Marcelo Laca
Affiliation:
Department of Mathematics, The University of Newcastle, Newcastle NSW 2308, Australia, e-mail: marcelo@math.newcastle.edu.au
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Abstract

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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.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 2 , October 1995 , pp. 317 - 326
Copyright
Copyright © Australian Mathematical Society 1995

References

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