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Extensions of multipliers and dilations of projective isometric representations
Author(s):
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:
- [1]
- W. B. Arveson, An addition formula for the index of semigroups of endomorphisms of
 , 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
 -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:
10.1090/S0002-9939-97-03509-0
PII:
S 0002-9939(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
Copyright of article:
Copyright
1997,
American Mathematical Society
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