The coarse Baum–Connes conjecture and groupoids
نویسندگان
چکیده
منابع مشابه
The coarse Baum–Connes conjecture and groupoids. II
Given a (not necessarily discrete) proper metric space M with bounded geometry, we define a groupoid G(M). We show that the coarse Baum–Connes conjecture with coefficients, which states that the assembly map with coefficients for G(M) is an isomorphism, is hereditary by taking closed subspaces.
متن کاملThe Generalized Effros-hahn Conjecture for Groupoids
Abstract. The generalized Effros-Hahn conjecture for groupoid C-algebras says that, if G is amenable, then every primitive ideal of the groupoid Calgebra C(G) is induced from a stability group. We prove that the conjecture is valid for all second countable amenable locally compact Hausdorff groupoids. Our results are a sharpening of previous work of Jean Renault and depend significantly on his ...
متن کاملCombinatorial Groupoids, Cubical Complexes, and the Lovász Conjecture
A foundation is laid for a theory of combinatorial groupoids, allowing us to use concepts like “holonomy”, “parallel transport”, “bundles”, “combinatorial curvature” etc. in the context of simplicial (polyhedral) complexes, posets, graphs, polytopes and other combinatorial objects. A new, holonomy-type invariant for cubical complexes is introduced, leading to a combinatorial “Theorema Egregium”...
متن کاملCoarse-graining of bubbling geometries and the fuzzball conjecture
In the LLM bubbling geometries, we compute the entropies of black holes and estimate their “horizon” sizes from the fuzzball conjecture, based on coarse-graining on the gravity side. The differences of black hole microstates cannot be seen by classical observations. Conversely, by counting the possible deformations of the geometry which are not classically detectable, we can calculate the entro...
متن کاملn-groupoids and stacky groupoids
We discuss two generalizations of Lie groupoids. One consists of Lie n-groupoids defined as simplicial manifolds with trivial πk≥n+1. The other consists of stacky Lie groupoids G ⇒ M with G a differentiable stack. We build a 1–1 correspondence between Lie 2-groupoids and stacky Lie groupoids up to a certain Morita equivalence. We prove this in a general set-up so that the statement is valid in ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 2002
ISSN: 0040-9383
DOI: 10.1016/s0040-9383(01)00004-0