${\mathrm{K}}_1^{\mathbf{\Delta }}$ for ${\mathrm{C}}^{\ast }$-algebras

James Gabe, Alistair Miller

We introduce a topological abelian group ${\mathrm{K}}_1^{\Delta }(A)$ for every ${\mathrm{C}}^{\ast }$-algebra $A$, which is functorial in $A$ and invariant under stabilisations. $\mathrm{K}_1^Δ…