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Amenability, lp-homologies and translation invariant functionals

Part of: Global differential geometry Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

Gábor Elek
Gábor Elek
Affiliation:
Mathematical Institute, Hungarian Academy of Science, Budapest 1364, POB 127, Hungary
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Abstract

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We introduce a new homology theory for infinite graphs in order to generalize some results of Willis and Woodward on translation invariant functionals. We also extend some theorems of Gerl and Gromov.

MSC classification

Secondary: 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc. 53C23: Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 65 , Issue 1 , August 1998 , pp. 111 - 119
Copyright
Copyright © Australian Mathematical Society 1998

References

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