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ℓ2-homology of the free group

Article ID Journal Published Year Pages File Type
5771511 Expositiones Mathematicae 2017 16 Pages PDF
Abstract

We analyze the reduced ℓ2-homology groups of a finitely generated nonabelian free group, F. Specifically, the projection map onto the space of harmonic ℓ2-1-chains is explicitly described and a weak isomorphism from (ℓ2(F))rk(F)−1 to the space of harmonic ℓ2-1-chains is given.

Keywords
55N3520F6520E05primarysecondaryFree groups
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
ℓ2-homology of the free group
Authors
Matt Clay,
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Expositiones Mathematicae
Journal: Expositiones Mathematicae
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55N35
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20E05
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