Etienne Blanchard
Published 2000-12-15, updated 2000-12-19Version 2
Given a Hausdorff compact space X, we study the C^*-(semi)-norms on the algebraic tensor product $A\otimes_{alg,C(X)} B$ of two C(X)-algebras A and B over C(X). In particular, if one of the two C(X)-algebras defines a continuous field of C^*-algebras over X, there exist minimal and maximal C^*-norms on $A\otimes_{alg,C(X)} B$ but there does not exist any C^*-norm on $A\otimes_{alg,C(X)} B$ in general.
Comments: 8 pages
Journal: Ast'erisque 232 [1995], 81--92
Continuous Fields of $C^*$-Algebras Arising from Extensions of Tensor $C^*$-Categories
Algebraic tensor products and internal homs of noncommutative L^p-spaces
A topological invariant for continuous fields of Cuntz algebras II
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