Corpus ID: 119615703

Textile systems, coloured graphs and their applications to higher-rank graphs

@article{Kang2013TextileSC,
  title={Textile systems, coloured graphs and their applications to higher-rank graphs},
  author={S. Kang and D. Pask and Samuel G. Webster},
  journal={arXiv: Dynamical Systems},
  year={2013}
}
We compute a presentation of the fundamental group of a higher-rank graph using a coloured graph description of higher-rank graphs developed by the third author. We show that textile systems may be thought of as generalisations of $2$-graphs. We define the fundamental, homology and cohomology groups of a textile system generalising those for rank-$2$ graphs. Our new approach to provides a tractable description of the funadmental group and second cohomology group of a textile system. 
1 Citations

References

SHOWING 1-10 OF 32 REFERENCES
Fundamental groupoids of k-graphs
  • 21
  • PDF
Topological realizations and fundamental groups of higher-rank graphs
  • 6
  • PDF
HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS
  • 120
  • PDF
On twisted higher-rank graph C*-algebras
  • 34
  • PDF
The Analytic Algebras Of Higher Rank Graphs
  • 33
  • PDF
Tiling systems and 2-graphs associated to textile systems
  • 1
Remarks on some fundamental results about higher-rank graphs and their C*-algebras
  • 41
  • PDF
On higher rank graph C ∗ -algebras
  • 147
...
1
2
3
4
...