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Mathematics Department

Math Department Colloquium
Thu, Mar 22Thu, Mar 22
1:00 PM 2:00 PM

Abstract: On the space of integer linear combinations oforiented edges of a finite graph, consider the linear operator T thatassigns to an edge the sum of its outgoing edges. The operator wasconstructed by Bass and Hashimoto in connection with the zeta functionof the graph. I will show an elementary way to calculate the kernel andcokernel of 1-T on these integral spaces, and then apply this to aclassification problem in the theory of C*-algebras. Joint work withOliver Lorscheid (Utrecht) and Matilde Marcolli (MPIM Bonn).


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