Tensor products of C(X)-algebras over C(X)

By É. Blanchard. 2000

63 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0a46f268f54bc9ac31109c57830454b99d658857

How researchers see this paper

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In Algebra and Number Theory

1. Dana P. Williams
2. Xin Li

In Mathematical Physics

1. Dana P. Williams
2. Xin Li

Citations in the corpus

• Crossed products of C*-algebras (2007, background): “Much of the material developed here on C0(X)-algebras, and a good deal more, can be found in [9, 43, 113].”