Abstract
In an earlier work, we defined and described a new group algebra , which is a von Neumann algebra containing the group G (3). In this paper we continue this study be relating the lattice of normal subgroups of the group G to the lattice of central projections of the group algebra . More precisely, we shall exhibit a one-to-one mapping ϕ of the lattice of closed normal subgroups of G into the lattice of central projections of , having the property that if N1 ⊂ N2, then ϕ(N2) ≤ ϕ(N1).
Publisher
Canadian Mathematical Society
Cited by
9 articles.
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1. Duality between compactness and discreteness beyond pontryagin duality;Proceedings of the Steklov Institute of Mathematics;2010-12
2. A criterion for a topological group to admit a continuous embedding in a locally compact group;Russian Journal of Mathematical Physics;2008-06
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