Automorphisms and tensor products of algebras
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- by John W. Bunce PDF
- Proc. Amer. Math. Soc. 44 (1974), 93-95 Request permission
Abstract:
In this note we prove that if $A$ is a complex Banach algebra with identity, then the automorphism on $A\hat \otimes A$ determined by $\theta (a \otimes b) = b \otimes a$ is inner if and only if $A = {M_n}(C)$.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 93-95
- MSC: Primary 46H20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0331063-4
- MathSciNet review: 0331063