Algebraic $K$-theory of hyperbolic manifolds
نویسندگان
چکیده
منابع مشابه
6 K - theory of hyperbolic 3 - manifolds
We introduce an invariant of the hyperbolic 3-manifolds which appears in the K-theory of certain C*-algebras. Namely, such an invariant is essentially an algebraic number field K with a fixed equivalence class of ideals in the ring of integers of K. The C*-algebras in question are the crossed product C*-algebras attached to the monodromy transformation of the 3-manifolds which fiber over the ci...
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The subject of present note are relationships between certain class of noncommutative C∗-algebras and geometry of 3-dimensional manifolds which fiber over the circle. We suggest a new classification of such manifolds which is based on the K-theory of a C∗-algebra coming from measured foliations and geodesic laminations studied by Thurston et al. In the first part of the paper a bijection betwee...
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Among other results, we rationally calculate the algebraic K-theory of any discrete cocompact subgroup of a Lie group G, where G is either O(n, 1), U(n, 1), Sp(n, 1), or F(4), in terms of the homology of the double coset space Gamma\G/K, where K is a maximal cocompact subgroup of G. We obtain the formula K(n)(ZGamma) [unk] [unk] congruent with [unk](i=0) (infinity)H(i)(Gamma\G/K; [unk](n-i)), w...
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Let M be a closed topological n–manifold, and let S(M) be the moduli space of closed topological manifolds equipped with a homotopy equivalence to M . We give an algebraic description of S(M) in the h-cobordism stable range, assuming n ≥ 5. (That is, we produce a highly connected map from S(M) to another space having an algebraic description.) The algebraic description is in terms of L–theory, ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1986
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1986-15412-1