2025/03/10 by Krutoy, Kostyantyn
#51F30 #51K05 #52C25 #53C24 #FOS: Mathematics #Metric Geometry (math.MG) #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.2503.07398
We demonstrate that any full and faithful *-functor between approximable categories of locally finite coarse spaces induces a coarse embedding between the underlying spaces. Furthermore, we establish a general characterisation of such *-functors between approximable categories and prove that the functor associating each locally finite coarse space with its approximable category is full and faithful.