English

KK-lifting problem for dimension drop interval algebras

Operator Algebras 2013-06-18 v1

Abstract

We investigate the KK-lifting problem for generalized dimension drop interval algebras (with possibly different dimension drops at the endpoints). It turns out that there exist KK-elements between two such algebras which preserve the Dadarlat-Loring order structure on K-theory with coefficient, but fail to be lifted to a homomorphism between the algebras.

Cite

@article{arxiv.1306.3623,
  title  = {KK-lifting problem for dimension drop interval algebras},
  author = {Georege A. Elliott and Zhiqiang Li},
  journal= {arXiv preprint arXiv:1306.3623},
  year   = {2013}
}

Comments

26 pages

R2 v1 2026-06-22T00:34:25.573Z