Seminar "Functional analysis and noncommutative geometry". Speaker : Sergei Akbarov

The stereotype approximation property is an analogue of the classical approximation property transferred into the category ${\tt Ste}$ of stereotype spaces.

Formally this is a stronger condition than the classical approximation (although it is not known up to now if these conditions coincide or not in the class ${\tt Ste}$).

As a corollary, the question which spaces in the standard list of functional analysis have the stereotype approximation is quite difficult (the only exception is the situation when the space has a topological basis in a reasonable sense).

In this talk I will show that the group algebra of measures ${\mathcal C}^\star(G)$ on an arbitrary locally compact group $G$ has the stereotype approximation property.