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- Publisher
- Springer Journals
- Copyright
- Copyright © 2008 by Springer-Verlag
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0025-5874
- eISSN
- 1432-1823
- DOI
- 10.1007/s00209-008-0301-1
- Publisher site
- See Article on Publisher Site
Abstract
For C*-algebras A and B, the identity map from $$A \widehat{\otimes} B $$ into A $$\otimes$$ λ B is shown to be injective. Next, we deduce that the center of the completion of the tensor product A⊗B of two C*-algebras A and B with centers Z(A) and Z(B) under operator space projective norm is equal to $$Z(A)\widehat{\otimes}Z(B)$$ . A characterization of isometric automorphisms of $$A \widehat{\otimes} B$$ and A $$\otimes$$ h B is also obtained.
Journal
Mathematische Zeitschrift – Springer Journals
Published: Jan 17, 2008