On strong extension groups of Cuntz--Krieger algebras

2022/08/17 by Matsumoto, Kengo · 1 citation
#FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Primary 46L80 #Secondary 19K33

paper · doi:10.48550/arxiv.2208.08001

Abstract

In this paper, we study the strong extension groups of Cuntz--Krieger algebras, and present a formula to compute the groups. We also detect the position of the Toeplitz extension of a Cuntz--Krieger algebra in the strong extension group and in the weak extension group to see that the weak extension group with the position of the Toeplitz extension is a complete invariant of the isomorphism class of the Cuntz--Krieger algebra associated with its transposed matrix.

Cited by

• On universal property of reciprocal Kirchberg algebras and uniquely ergodic automorphisms

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