Geodesic
Tensor Products of Banach Algebras*
Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 691-701

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In [3] Gelbaum defined the tensor product A ⊗CB of three commutative Banach algebras, A, B and C and established some of its properties. Various examples are given and the particular case where A, B and C are group algebras of L.C.A. groups G, H and K respectively, is discussed there. It is shown there that if K is compact L1(G) ⊗ L1(K) L1(H) is isomorphic to where is L.C.A. 1 L (K) 1 1 if and only if L1(G) ⊗ L1(K) L1(H) is semisimple. 
Natzitz, Boaz. Tensor Products of Banach Algebras*. Canadian mathematical bulletin, Tome 11 (1968) no. 5, pp. 691-701. doi: 10.4153/CMB-1968-083-3
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     author = {Natzitz, Boaz},
     title = {Tensor {Products} of {Banach} {Algebras*}},
     journal = {Canadian mathematical bulletin},
     pages = {691--701},
     year = {1968},
     volume = {11},
     number = {5},
     doi = {10.4153/CMB-1968-083-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-083-3/}
}
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