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G. K. Eleftherakis and
E. Papapetros
Hilbert modules, rigged modules, and stable isomorphism
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| Published: |
December 17, 2022. |
| Keywords: |
Operator algebras, C*-algebras, Hilbert modules, TRO, stable isomorphism, Morita equivalence. |
| Subject [2010]: |
47L30 (primary), 46L05, 46L08, 47L05, 47L25, 16D90 (secondary). |
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Abstract
Rigged modules over an operator algebra are a generalization of Hilbert modules over a C*-algebra. We characterize the rigged modules over an operator algebra A which are orthogonally complemented in
C∞(A), the space of infinite columns with entries in A. We show that every such rigged module 'restricts' to a bimodule of Morita equivalence between appropriate stably isomorphic operator algebras.
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| Acknowledgements
N/A
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| Author information
G. K. Eleftherakis:
University of Patras
Faculty of Sciences, Department of Mathematics
265 00 Patras, Greece
gelefth@math.upatras.gr
E. Papapetros:
University of Patras
Faculty of Sciences, Department of Mathematics
265 00 Patras, Greece
e.papapetros@upatras.gr
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