# GENERALISED MORPHISMS OF k-GRAPHS: k-MORPHS

@article{Kumjian2007GENERALISEDMO, title={GENERALISED MORPHISMS OF k-GRAPHS: k-MORPHS}, author={Alex Kumjian and David Pask and Aidan Sims}, journal={Transactions of the American Mathematical Society}, year={2007}, volume={363}, pages={2599-2626} }

In a number of recent papers, (k + l)-graphs have been constructed from k-graphs by inserting new edges in the last l dimensions. These constructions have been motivated by C � -algebraic considerations, so they have not been treated systematically at the level of higher-rank graphs themselves. Here we introduce k-morphs, which provide a systematic unifying framework for these various constructions. We think of k-morphs as the analogue, at the level of k-graphs, of C � -correspondences between…

## 13 Citations

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### Topological realizations and fundamental groups of higher-rank graphs

- MathematicsProceedings of the Edinburgh Mathematical Society
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### Factoriality and Type Classification of k-Graph von Neumann Algebras

- MathematicsProceedings of the Edinburgh Mathematical Society
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Suppose that a locally compact group G acts freely and properly on the right of a locally compact space T. Rieffel proved that if α is an action of G on a C*-algebra A and there is an equivariant…

### A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph

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