We study residually finite-dimensional (or RFD) operator algebras which may not be self-
adjoint. An operator algebra may be RFD while simultaneously possessing completely …

The residual finite-dimensionality of a-algebra is known to be encoded in a topological
property of its space of representations, stating that finite-dimensional representations …

Abstract The Local Lifting Property (LLP) is a localized version of projectivity for completely
positive maps between $\mathrm {C}^* $-algebras. Outside of the nuclear case, very few …

The (Local) Lifting Property ((L) LP) is introduced by Kirchberg and deals with lifting
completely positive maps. We give a characterization of the (L) LP in terms of lifting $\ast …

It is an old and challenging topic to investigate for which discrete groups G the full group C*-
algebra C⁎(G) is residually finite-dimensional (RFD). In particular not much is known about …

The rotation algebra $\mathcal A_ {\theta} $ is the universal $ C^* $--algebra generated by
unitary operators $ U, V $ satisfying the commutation relation $ UV=\omega VU $ where …

We pick-up from where we left off in talk 3 about exact C*-algebras. We learnt what an exact
C*-algebra is and how exact sequences of C*-algebras work. In the first section of this talk …

The Local Lifting Property (LLP) is a localized version of projectivity for completely positive
maps between $\mathrm {C}^* $-algebras. Outside of the nuclear case, very few $\mathrm …