2017/01/05 by Kourosh Nourouzi, Nourouzi, Kourosh, Ali Reza +1
Computer Science · Mathematics · #46L05 #Advanced Algebra and Logic #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.1701.01338
openalex publication_date 2017/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we give three functors \mathfrakP, [⋅]K and \mathfrakF on the category of C^∗-algebras. The functor \mathfrakP assigns to each C^∗-algebra A a pre-C^∗-algebra \mathfrakP(A) with completion [A]K. The functor [⋅]K assigns to each C^∗-algebra A the Cauchy extension [A]K of A by a non-unital C^∗-algebra \mathfrakF(A). Some properties of these functors are also given. In particular, we show that the functors [⋅]K and \mathfrakF are exact and the functor \mathfrakP is normal exact.