Central extensions and almost representations

Marius Dadarlat, Forrest Glebe

For a sequence of unital tracial $C^{\ast }$-algebras $(A_n,{\tau }_n),$ we construct a canonical central extension of the unitary group $U({\ell }^{\infty }(\mathbb{N},A_n)/c_0(\mathbb{N},A_n))$ b…