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The maximal C*-norm and the Haagerup norm

Published online by Cambridge University Press:  24 October 2008

Takashi Itoh
Takashi Itoh
Affiliation:
Department of Mathematics, College of Science, Ryukyu University, Okinawa, Japan
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Abstract

The difference between the maximal C*-norm ‖ ‖max and the Haagerup norm ‖ ‖h on the tensor product space of C*-aIgebras is studied. Let A and B be C*-algebras. It is shown that ‖ ‖max is equivalent to ‖ ‖h on A ⊗ B if and only if A or B is finite-dimensional.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 1 , January 1990 , pp. 109 - 114
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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