Year: 2024
Type: preprint
Abstract: We develop important properties of the KK-functor on the basis of split exactness. In particular we discuss two slightly different short proofs for the existence of the Kasparov product and its associativity. We use the approach with quasihomomorphisms to obtain a short proof of the fact that operator homotopy implies homotopy . Using an idea of Gabe-Szabo we also deduce from this the 'stable uniqueness theorem' of Dadarlat-Eilers by a very short argument.
Source: arXiv (Cornell University)
Author: Cuntz, Joachim
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W4404313753