Speaker
Dr
Francesca Arici
(University of Nijmegen)
Description
We will describe the quantisation of gauge theories on a lattice/graph in terms of their algebras of observables and of the Hilbert space on which the algebra is represented. The algebra of observables for the quantum system admits a natural geometric realization as a groupoid
C*-algebra. We will study the behaviour of such algebras under lattice refinements and the resulting continuum limit of the theory.
Based on joint work with R. Stienstra and W. van Suijlekom.