On freely generated semigraph C^*-algebras

2011/11/18 by Burgstaller, Bernhard
#46L05 #46L55 #46L80 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1111.4392

Abstract

For special universal C^*-algebras associated to k-semigraphs we present the universal representations of these algebras, prove a Cuntz--Krieger uniqueness theorem, and compute the K-theory. These C^*-algebras seem to be the most universal Cuntz--Krieger like algebras naturally associated to k-semigraphs. For instance, the Toeplitz Cuntz algebra is a proper quotient of such an algebra.

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