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Displaying similar documents to “An application of Ramanujan graphs to C*-algebra tensor products, II”

Classification of tensor products of symmetric graphs

Wilfried Imrich, Aleš Pultr (1991)

Commentationes Mathematicae Universitatis Carolinae

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In the category of symmetric graphs there are exactly five closed tensor products. If we omit the requirement of units, we obtain twelve more.

Invertibility in tensor products of Q-algebras

Seán Dineen, Pablo Sevilla-Peris (2002)

Studia Mathematica

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We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.