학술저널
DILATION OF PROJECTIVE ISOMETRIC REPRESENTATION ASSOCIATED WITH UNITARY MULTIPLIER
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 4
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2007.12367 - 373 (7 pages)
- 0
For a unital ¤-subalgebra of the space La(X) of all ad-jointable maps on a Hilbert B-module X with a C¤-algebra B, we study unitary operator (in such algebra){valued multiplier ¾ on a normal, generating subsemigroup S of a group G with its exten-sion to G. A dilation of a projective isometric ¾{representation of S is established as a projective unitary ½{representation of G for a suitable unitary operator (in some algebra){valued multiplier ½ associated with the multiplier ¾ which is explicitly constructed.
1. Introduction
2. Unitary multipliers
3. Kolmogorov decomposition and unitary multiplier
4. Dilation theory
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