M ay 2 00 3 ALGEBRAIC K - THEORY OF MAPPING CLASS GROUPS
نویسنده
چکیده
We show that the Fibered Isomorphism Conjecture of T. Farrell and L. Jones holds for various mapping class groups. In many cases, we explicitly calculate the lower algebraic K-groups, showing that they do not always vanish.
منابع مشابه
2 9 M ay 2 00 3 ALGEBRAIC K - THEORY OF MAPPING CLASS GROUPS
We show that the Fibered Isomorphism Conjecture of T. Farrell and L. Jones holds for various mapping class groups. In many cases, we explicitly calculate the lower algebraic K-groups, showing that they do not always vanish.
متن کاملM ay 2 00 7 THE “ FUNDAMENTAL THEOREM ” FOR THE ALGEBRAIC K - THEORY OF SPACES . III . THE NIL - TERM
In this paper we identify the “nil-terms” for Waldhausen’s algebraic K-theory of spaces functor as the reduced Ktheory of a category of equivariant spaces equipped with a homotopically nilpotent endomorphism.
متن کامل6 M ay 2 00 6 K - invariants 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 the integral order in 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 w...
متن کاملar X iv : 0 80 1 . 20 06 v 2 [ m at h . G T ] 3 M ay 2 00 8 GEOMETRY AND RIGIDITY OF MAPPING CLASS GROUPS
We study the large scale geometry of mapping class groups MCG(S), using hyperbolicity properties of curve complexes. We show that any self quasi-isometry of MCG(S) (outside a few sporadic cases) is a bounded distance away from a left-multiplication, and as a consequence obtain quasi-isometric rigidity for MCG(S), namely that groups quasi-isometric to MCG(S) are virtually equal to it. (The latte...
متن کاملM ay 2 00 6 ADMISSIBLE SEMI - LINEAR REPRESENTATIONS
The category of admissible (in the appropriately modified sense of representation theory of totally disconnected groups) semi-linear representations of the automorphism group of an algebraically closed extension of infinite transcendence degree of the field of algebraic complex numbers is described. Let k be a field of characteristic zero containing all ℓ-primary roots of unity for a prime ℓ, F...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013