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Discrete subgroups, Bruhat-Tits buildings, and homotopy invariance of higher signatures. (Russian) Zbl 0335.57020

##### MSC:
 57R65 Surgery and handlebodies 20F34 Fundamental groups and their automorphisms (group-theoretic aspects) 55R40 Homology of classifying spaces and characteristic classes in algebraic topology 55R50 Stable classes of vector space bundles in algebraic topology and relations to $$K$$-theory 55R60 Microbundles and block bundles in algebraic topology 57R20 Characteristic classes and numbers in differential topology 47A53 (Semi-) Fredholm operators; index theories 58J20 Index theory and related fixed-point theorems on manifolds 55P15 Classification of homotopy type