All posts under category "Mathematics / Math.OA"
We show that a reflective/coreflective pair of full subcategories satisfies a 'maximal-normal'-type equivalence if and only if it is an associated pair in the sense of Kelly and Lawvere.
In the setting of C*-categories, we provide a definition of 'spectrum' of a commutative full C*-category as a one-dimensional unital saturated Fell bundle over a suitable groupoid (equivalence relation) and prove a categorical Gelfand duality theorem generalizing the usual Gelfand duality between th
We show that the spectrum X of a weakly semiprojective, commutative C*-algebra C(X) is at most one dimensional. This completes the work of S{o}rensen and Thiel on the characterization of weak (semi-)projectivity for commutative C*-algebras.
In this article we follow the main idea of A. Connes for the construction of a metric in the state space of a C*-algebra. We focus in the reduced algebra of a discrete group $Gamma$, and prove some equivalences and relations between two central objects of this category: the word-length growth (conne
In an earlier paper of mine relating vector bundles and Gromov-Hausdorff distance for ordinary compact metric spaces, it was crucial that the Lipschitz seminorms from the metrics satisfy a strong Leibniz property. In the present paper, for the now non-commutative situation of matrix algebras converg
Enter keywords to search articles