Publisher： Cambridge University Press
E-ISSN： 1865-5394|9|3|503-520
ISSN： 1865-2433
Source： Journal of K-Theory, Vol.9, Iss.3, 2011-11, pp. : 503-520
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Abstract
We prove that a leafwise homotopy equivalence between compact foliated manifolds induces a well defined bounded operator between all Sobolov spaces of leafwise (for the natural foliations of the graphs of the original foliations) differential forms with coefficients in a leafwise flat bundle. We further prove that the associated map on the leafwise reduced
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