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A New Group Algebra for Locally Compact Groups II

Published online by Cambridge University Press:  20 November 2018

John Ernest
John Ernest*
Affiliation:
University of Rochester Rochester, New York
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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).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 604 - 615
Copyright
Copyright © Canadian Mathematical Society 1965

References

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