A simplicial, cofibrantly generated, stable model structure on ν-complete locally multiplicative convex G-C*-algebras is constructed whose homotopy category recovers Kasparov's equivariant KK-theory.
Generalized homomorphisms and KK with extra structure
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We develop the approach via quasihomomorphisms and the universal algebra $qA$ to Kasparov's $KK$-theory, so as to cover versions of $KK$ such as $KK^{nuc}$, $KK^G$ and ideal related $KK$-theory.
fields
math.KT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Equivariant $KK$-theory and model categories
A simplicial, cofibrantly generated, stable model structure on ν-complete locally multiplicative convex G-C*-algebras is constructed whose homotopy category recovers Kasparov's equivariant KK-theory.