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Menevse Eryuzlu Paulovicks
Exactness of the Cuntz-Pimsner construction
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| Published: |
May 9, 2026. |
| Keywords: |
C*-correspondence, Cuntz-Pimsner algebra, exact sequence, exact functor. |
| Subject [2020]: |
Primary 46L08; Secondary 18B99. |
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Abstract
In prior work we described how the Cuntz-Pimsner construction may be viewed as a functor. The domain of this functor is a category whose objects are C*-correspondences and morphisms are isomorphism classes of certain pairs comprised of a C*-correspondence and an isomorphism. The codomain is the well-studied category whose objects are C*-algebras and morphisms are isomorphism classes of C*-correspondences. In this paper we show that certain fundamental results in the theory of Cuntz-Pimsner algebras are direct consequences of the functoriality of the Cuntz-Pimsner construction. In addition, we describe exact sequences in the target and domain categories, and prove that the Cuntz-Pimsner functor is exact.
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| Acknowledgements
N/A
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| Author information
Menevse Eryuzlu Paulovicks
Department of Mathematical Sciences
New Mexico State University
Las Cruces, NM 88003-8001, USA
menevse.paulovicks@gmail.com
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