Monday Analysis Seminar: Cohomology of higher rank graphs and twisted k-graph C*-algebras

We introduce a homology theory and the corresponding cohomology theory of a
higher rank graph (inspired by the cubical homology which appears in
Massey’s text). We define the C*-algebra of a higher rank graph twisted by
a two-cocycle which takes values in the circle and derive some basic
properties. Any noncommutative torus and the crossed product of O_n by a
quasifree automorphism are simple examples of the C*-algebras that can
arise from this construction.

(Joint work with David Pask and Aidan Sims).

Date

2012-3-19 14:45 - 2012-3-19 16:15

Place

Faculty of Science Buliding #3 Room 210

Speaker/Organizer

Alex Kumjian (University of Nevada)