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The ℓ∞-semi-norm on uniformly finite homology

Diana, Francesca and Löh, Clara (2017) The ℓ∞-semi-norm on uniformly finite homology. Forum Mathematicum 29 (6).

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Other URL: http://doi.org/10.1515/forum-2015-0258


Abstract

Uniformly finite homology is a coarse homology theory, defined via chains that satisfy a uniform boundedness condition. By construction, uniformly finite homology carries a canonical l(infinity)-semi-norm. We show that, for uniformly discrete spaces of bounded geometry, this semi-norm on uniformly finite homology in degree 0 with Z-coefficients allows for a new formulation of Whyte's rigidity ...

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Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Clara Löh
Identification Number:
ValueType
10.1515/forum-2015-0258DOI
Keywords:AMENABLE-GROUPS; AMENABILITY; Uniformly finite homology; semi-norms on homology; rigidity
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39637
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