Vol. 22, No. 2, 1967

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Tensor products of group algebras

Bernard Russel Gelbaum

Vol. 22 (1967), No. 2, 241–250
Abstract

Let G,H,K be Iocally compact abelian groups where K is noncompact and both the quotient G∕Ne where Ne is a compact (normal) subgroup and the quotient H∕N1T where NE is a compact (normal) subgroup. Then in a natural fashion the group algebras L1(G) and L1(H) are modules over L1(K) and

L1(G)⊗L1 (K ) L1(H) ∼= L1(K ).

Mathematical Subject Classification
Primary: 42.56
Secondary: 46.00
Milestones
Received: 20 July 1966
Published: 1 August 1967
Authors
Bernard Russel Gelbaum