Unitary multiplier and dilation of projective isometric representation

[摘要] In this paper we study unitary operator-valued multiplier a on a normal subsemigroup S of a group G with its extension to G. A dilation of a projective isometric or sigma-representations of S to a projective unitary phi (sigma) -representation of G is established for a suitable unitary operator-valued multiplier phi(sigma) associated with the multiplier a which is explicitly constructed during the study. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-01

[关键词] multiplier;isometric multiplier representation;dilation