2016/01/30 by Masumoto, Shuhei
#03C98 #47L40 #FOS: Mathematics #Logic (math.LO) #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1602.00124
In this paper, we give a self-contained and quite elementary proof that the class of all dimension drop algebras together with their distinguished faithful traces forms a Fraïssé class with the Jiang-Su algebra as its limit. We also show that the UHF algebras can be realized as Fraïssé limits of classes of C*-algebras of matrix-valued continuous functions on [0, 1] with faithful traces.