Pacific Journal of Mathematics

The flow space of a directed $G$-graph.

William L. Paschke

Article information

Source
Pacific J. Math. Volume 159, Number 1 (1993), 127-138.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
http://projecteuclid.org/euclid.pjm/1102634382

Zentralblatt MATH identifier
0797.46048

Mathematical Reviews number (MathSciNet)
MR1211388

Subjects
Primary: 46L05: General theory of $C^*$-algebras
Secondary: 19K99: None of the above, but in this section 46L10: General theory of von Neumann algebras 46L80: $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]

Citation

Paschke, William L. The flow space of a directed $G$-graph. Pacific Journal of Mathematics 159 (1993), no. 1, 127--138. http://projecteuclid.org/euclid.pjm/1102634382.


Export citation

References

  • [I] J. Anderson, B. Blackadar and U. Haagerup, Minimal projections in thereduced group C*'-algebra of 7Ln * Zm , J. Operator Theory, to appear.
  • [2] N. L. Biggs, B. Mohar and J. Shawe-Taylor, Thespectralradius of infinite graphs, Bull. London Math. Soc, 20 (1988), 116-120.
  • [3] B. Blackadar, K-Theory for OperatorAlgebras, MSRI Series No. 5, Springer, New York, 1986.
  • [4] W. Dicks and M. J. Dunwoody, Groupsacting on graphs,Cambridge Studies in Advanced Mathematics vol. 17, Cambridge University Press, New York, 1989.
  • [5] J. Dodziuk, Difference equations, isoperimetric inequality and transience ofcer- tain random walks, Trans. Amer. Math. Soc, 284 (1984), 787-794.
  • [6] P. Gerl, Amenable groups and amenable graphs, in Harmonic Analysis (ed. P. Eymard and J.-P. Pier), Springer Lecture Notes in Mathematics No. 1359 (1987), 181-190.
  • [7] W. Magnus, Noneuclidean Tesselations and their Groups,Academic Press, New York, 1974.
  • [8] B. Mohar, Isoperimetric inequalities, growth, and the spectrum of graphs,Linear Algebra AppL, 103 (1988), 119-131.
  • [9] B. Mohar and W. Woess, A survey on spectra of infinite graphs, Bull. London Math. Soc, 21 (1989), 209-234.
  • [10] A. L. T. Paterson, Amenability, Math. Surveys Monographs, vol. 29, Amer. Math. Soc, Providence, RI, 1988.
  • [II] J.-P. Serre, Trees, Springer, New York, 1980.
  • [12] M. Takesaki, Theory of OperatorAlgebras I, Springer, New York, 1979.