分野別セミナー

アブストラクト：
With every (partial) self-covering of a topological space we associate
a group acting on a rooted tree, called the iterated monodromy group.
The iterated monodromy groups have interesting group theoretic
properties, and they uniquely determine the dynamical system in
expanding (hyperbolic) case. One can also associate two C*-algebras
with a partial self-covering, which are dual to each other in some
sense. One is constructed using the iterated monodromy group, the
other one is defined starting from the algebra of continuous functions
on the space. We will discuss properties of these C*-algebras and
their relation to dynamical systems.