On strong extension groups of Cuntz--Krieger algebras
Operator Algebras
2023-05-17 v2 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.2208.08001,
title = {On strong extension groups of Cuntz--Krieger algebras},
author = {Kengo Matsumoto},
journal= {arXiv preprint arXiv:2208.08001},
year = {2023}
}
Comments
17 pages. Proof of Proposition 3.1 (ii) is corrected