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Compact open sets in duals and projections in L1-algebras of certain semi-direct product groups
Published online by Cambridge University Press: 24 October 2008
Extract
The main purpose of this paper is to study projections, that is, self-adjoint idempotents, in L1-algebras of semi-direct products G = ℝ ⋉ ℝd, d ≥ 2. We establish necessary and sufficient conditions for the existence of non-zero projections in terms of the action of ℝ on ℝd. In the cases where such projections exist, we describe minimal ones in detail.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 3 , May 1992 , pp. 545 - 556
- Copyright
- Copyright © Cambridge Philosophical Society 1992