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Showing 1 to 2 of 2 for “"exact category"”.
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Cohomological dimension for C*-algebras
… of operator space modules. The setting of exact categories provides us with a robust framework to utilise homological techniques.<br/><br/>We develop initial global dimension theorems for two of these categories. In the additive category of operator modules over a C*-algebra, equipped with …
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Constructing K-theory spectra from algebraic structures with a class of acyclic objects
… conditions, a cotorsion pair $(C,C^\bot)$ in an exact category E, together with a subcategory $Z\subseteq E$ containing $C^\bot$, determines a Waldhausen structure on C in which Z is the class of acyclic objects. This yields a new version of Quillen's Localization Theorem, relating the K-theory …