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. 

 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.