The algebraic entropy of one-dimensional finitary linear cellular automata
In this talk I present the so-called one-dimensional finitary linear cellular automata 
on 
from an algebraic point of view. The Pontryagin dual endomorphism 
of is a classical one-dimensional linear cellular automaton 
on , and I give several equivalent conditions for to be invertible with inverse a finitary linear cellular automaton. The main result I will show is the computation of the algebraic entropy of , which coincides with the topological entropy of 
by the so-called Bridge Theorem. In order to compute the entropy, the degrees 
and 
of and will be introduced.
This is a joint work with H. Akın, D. Dikranjan, A. Giordano Bruno.