Diana, Francesca ; Nowak, Piotr
Alternative Links zum Volltext:DOIVerlag
Dokumentenart: | Artikel |
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Titel eines Journals oder einer Zeitschrift: | Groups, Geometry, and Dynamics |
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Verlag: | EUROPEAN MATHEMATICAL SOC |
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Ort der Veröffentlichung: | ZURICH |
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Band: | 11 |
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Nummer des Zeitschriftenheftes oder des Kapitels: | 1 |
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Seitenbereich: | S. 371-392 |
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Datum: | 2017 |
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Institutionen: | Mathematik |
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Identifikationsnummer: | Wert | Typ |
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10.4171/GGD/400 | DOI |
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Stichwörter / Keywords: | LARGE RIEMANNIAN-MANIFOLDS; BILIPSCHITZ EQUIVALENCE; GROWTH; Uniformly finite homology; coarse homology; cohomology of groups; products of trees |
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Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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Status: | Veröffentlicht |
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Begutachtet: | Ja, diese Version wurde begutachtet |
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An der Universität Regensburg entstanden: | Ja |
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Dokumenten-ID: | 38470 |
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Zusammenfassung
We show that uniformly finite homology of products of n trees vanishes in all degrees except degree n, where it is in finite dimensional. Our method is geometric and applies to several large scale homology theories, including almost equivariant homology and controlled coarse homology. As an applicationwe determine group homology with l(infinity)-co-efficients of lattices in products of trees. We ...
Zusammenfassung
We show that uniformly finite homology of products of n trees vanishes in all degrees except degree n, where it is in finite dimensional. Our method is geometric and applies to several large scale homology theories, including almost equivariant homology and controlled coarse homology. As an applicationwe determine group homology with l(infinity)-co-efficients of lattices in products of trees. We also show a characterization of amenability in terms of 1-homology and construct aperiodic tilings using higher homology.