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A Hilbert $ C^*$-module not anti-isomorphic to itself

Author(s): Mohammad B. Asadi; A. Khosravi
Journal: Proc. Amer. Math. Soc. 135 (2007), 263-267.
MSC (2000): Primary 46L99, 46H25, 19K99
Posted: August 2, 2006
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Abstract: We study the complexification of real Hilbert $ C^*$-modules over real $ C^*$-algebras. We give an example of a Hilbert $ \mathcal{A}_c$-module that is not the complexification of any Hilbert $ \mathcal{A}$-module, where $ \mathcal{A}$ is a real $ C^*$-algebra.

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Additional Information:

Mohammad B. Asadi
Affiliation: Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, 599 Taleghani Avenue, Tehran 15614, Iran
Email: mb.asadi@gmail.com

A. Khosravi
Affiliation: Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, 599 Taleghani Avenue, Tehran 15614, Iran
Email: khosravi@saba.tmu.ac.ir

DOI: 10.1090/S0002-9939-06-08474-7
PII: S 0002-9939(06)08474-7
Keywords: Hilbert $C^*$-modules, K-theory
Received by editor(s): July 31, 2005
Received by editor(s) in revised form: August 19, 2005
Posted: August 2, 2006
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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