summary：

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.

This seminar collaborates with Operator Algebras Theory and Ergodic Theory Seminar.

744 Motooka, Nishi-ku

Fukuoka 819-0395, Japan

TEL (Office): +81-92-802-4402

FAX (Office): +81-92-802-4405

##### IMI(Institute of Mathematics for Industry)

# Seminar

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## Iterated monodromy groups and operator algebras

Hold Date | 2012-01-16 16:40～2012-01-16 18:00 | |

Place | Seminar Room 4, Faculty of Mathematics building, Ito Campus | |

Object person | ||

Speaker | Volodymyr Nerkashevych (Texas A&M University, USA) | |