Abstract
We show that, under natural conditions, the minimal, respectively maximal tensor product of a pro-C*-algebra associated to a pro-C*-correspondence and a pro-C*-algebra is isomorphic to the pro-C*-algebra associated with a tensor product pro-C*-correspondence.
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Joiţa, M. Pro-\(C^{\ast}\)-algebras associated with pro-\(C^{\ast}\)-correspondences versus tensor products. Acta Math. Hungar. 160, 249–272 (2020). https://doi.org/10.1007/s10474-020-01022-9
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DOI: https://doi.org/10.1007/s10474-020-01022-9
Key words and phrases
- C*-algebra
- inverse limit of C*-algebras
- C*-correspondence
- Cuntz–Pimsner algebra
- Hilbert C*-module
- tensor product of C*-algebra