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On the Cayley Graph of an Amenable Group

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References

  1. D. Arapura, P. Bressler and M. Ramachandran, On the fundamental group of a compact Kāhler manifold, Duke Math. J., 68 (1992), 477–488.

    Google Scholar 

  2. M. E. B. Bekka and A. Valette, Group cohomology, harmonic functions and the first L 2-Betti number, preprint, to appear in Potential Analysis.

  3. R. Brooks, The fundamental group and the spectrum of the Laplacian, Comment. Math. Helv., 56 (1981), 581–598.

    Google Scholar 

  4. J. Cheeger and M. Gromov, L 2-cohomology and group cohomology, Topology, 25 (1986), 184–215.

    Google Scholar 

  5. J. Cohen, Von Neumann dimension and the homology of covering spaces, Quart. J. Math. Oxford Ser., 30 (1979), 133–142.

    Google Scholar 

  6. J. Dodziuk and L. Karp, Spectral and function theory for combinatorial Laplacians, Contemporary Mathematics, 73 (1988).

  7. G. Elek, Combinatorial heat kernels and index theorems, Journal of Functional Analysis, 129 (1995), 64–79.

    Google Scholar 

  8. W. Paschke, An invariant for finitely presented CG-modules, Math. Annalen, 301 (1995), 325–337.

    Google Scholar 

  9. P. M. Soardi, Potential Theory on Infinite Networks, Lecture Notes in Mathematics No. 1590.

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Elek, G. On the Cayley Graph of an Amenable Group. Acta Mathematica Hungarica 74, 229–234 (1997). https://doi.org/10.1023/A:1006511917850

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