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Extensions of multipliers and dilations
of projective isometric representations


Author: Gerard J. Murphy
Journal: Proc. Amer. Math. Soc. 125 (1997), 121-127
MSC (1991): Primary 47A20, 43A35, 46L99
DOI: https://doi.org/10.1090/S0002-9939-97-03509-0
MathSciNet review: 1343714
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Abstract: An elementary proof of a multiplier extension theorem of M. Laca and I. Raeburn is presented. A very general dilation theorem is also derived.


References [Enhancements On Off] (What's this?)

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  • [2] P. R. Chernoff, Extensions and triviality of multipliers on subsemigroups of the reals, Semigroup Forum 41 (1990), 237-244. MR 91c:22008
  • [3] H. Dinh, Multipliers on subsemigroups of the real line, Proc. Amer. Math. Soc. 117 (1993), 783-788. MR 93d:46111
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  • [6] G. J. Murphy, Crossed products of $C^*$-algebras by endomorphisms, Integral Equations Operator Theory 24 (1996), 298-319. CMP 96:08

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Additional Information

Gerard J. Murphy
Affiliation: Department of Mathematics, University College, Cork, Ireland
Email: gerard.murphy@ucc.ie

DOI: https://doi.org/10.1090/S0002-9939-97-03509-0
Received by editor(s): February 22, 1995
Received by editor(s) in revised form: May 22, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society

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