## Non-commutative Geometry III: Crossed Product and Orbit Space of Group Actions

Series:
Geometry Topology Working Seminar
Friday, October 29, 2010 - 14:00
2 hours
Location:
Skiles 171
,
Ga Tech
Organizer:

Note this is a 2 hour talk.&nbsp;

An action of the real line on a compact manifold defines a topological dynamical system. The set of orbits might be very singular for the quotient topology. It will be shown that there is, however, a C*-algebra, called the crossed product, which encodes the topology of the orbit space. The construction of this algebra can be done for an group action, if the group is locally compact.