Analysis and Probability Seminar

A common construction in operator algebras associates to a discrete group a full and reduced group C*-algebra. In particular, this can be done for a lattice in a locally compact group. This talk concerns a more general construction that associates a (full or reduced) C*-algebra to a discrete point set in a locally compact group, for instance an approximate lattice. The main result I will present gives conditions for when this C*-algebra is classifiable by its Elliott invariant. In particular, this is the case for certain aperiodic point sets in nilpotent Lie groups.