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Proceedings of the American Mathematical Society

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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
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?)

  • [1] W. B. Arveson, An addition formula for the index of semigroups of endomorphisms of $B(H)$, Pacific J. Math. 137 (1989), 19-36. MR 90c:47074
  • [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
  • [4] D. E. Evans and J. T. Lewis, Dilations of Irreversible Evolutions in Algebraic Quantum Theory, Comm. Dublin Inst. Adv. Studies Ser. A No. 24 (1977). MR 58:8915
  • [5] M. Laca and I. Raeburn, Extending multipliers from semigroups, Proc. Amer. Math. Soc. 123 (1995), 355-362. MR 95c:20101
  • [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

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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