Cubical, categorical & continuous: comparing cohomologies coming from k-graphs

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stiénon, Kendra Stauffer, Matthew Peddie.

Speaker: Jianchao Wu, PSU

Abstract: Higher-rank graphs, also called k-graphs (for k>1), are higher dimensional generalizations of directed graphs. They provide a rich source of interesting nuclear C*-algebras whose properties are often intricately related to the underlying k-graph. Adding to this richness is the possibility of twisting a k-graph algebra by a 2-cocycle of the k-graph. In this sense, twisted k-graph algebras are a generalization of noncommutative tori. This motivated the systematical study of the cohomology of k-graphs, which comes in two flavors: cubical and categorical. Also related is the continuous cohomology of the associated groupoid. I will talk about my recent joint work with Elizabeth Gillaspy and Alex Kumjian on revealing the close relations between these cohomologies and their applications to the twisted k-graph C*-algebras.

Room Reservation Information

Room Number: 320 Whitmore

Date: 01/30/2018

Time: 2:30pm - 3:30pm