English

Corner embeddings into algebras of compact operators in $K$-theory

K-Theory and Homology 2025-01-22 v1

Abstract

We show that in KK-theory-like categories many corner embeddings into a discrete algebra of compact operators are invertible, and consequently functors on splitexact algebraic KKKK-theory are faithful if and only if they are faithful on the subcategory generated by the homomorphisms.

Keywords

Cite

@article{arxiv.2501.11504,
  title  = {Corner embeddings into algebras of compact operators in $K$-theory},
  author = {Bernhard Burgstaller},
  journal= {arXiv preprint arXiv:2501.11504},
  year   = {2025}
}