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Classifying Space for Proper Actions and K-Theory of Group C*-algebras
We announce a reformulation of the conjecture in [8,9,10]. The advantage of the new version is that it is simpler and applies more generally than the earlier statement. A key point is to use theExpand
Riemann-roch for singular varieties
The basic tool for a general Riemann-Roch theorem is MacPherson’s graph construction, applied to a complex E. of vector bundles on a scheme Y, exact off a closed subset X. This produces a localizedExpand
CHERN CHARACTER FOR DISCRETE GROUPS
Publisher Summary This chapter discusses the Chern character for discrete groups. H j (X;Q) is the j-th Cech cohomology group of X with coefficients the rational numbers Q. The key property of thisExpand
THE COHOMOLOGY OF QUOTIENTS OF CLASSICAL GROUPS
THE HOMOLOGY and cohomology rings of the classical compact Lie groups so(n), SU(n), Sp(n) are well known (for example see Bore1 [3]). Most of these groups have non-trivial centers, and in [4], Bore1Expand
On the Equivalence of Geometric and Analytic K-Homology
We give a proof that the geometric K-homology theory for finite CWcomplexes defined by Baum and Douglas is isomorphic to Kasparov’s Khomology. The proof is a simplification of more elaborateExpand
Cycles and relative cycles in analytic $K$-homology
In this paper we continue the study of elliptic operators and ΛMiomology, pursued by the first two authors in [5], [6], [7]. We particularly focus on the concept of relative cycles, their productionExpand
On the Zeroes of Meromorphic Vector-Fields
Let M be a compact complex analytic manifold and let x be a holomorphic vector-field on M. In an earlier paper by one of us (see [2]) it was shown that the behavior of x near its zeroes determinedExpand
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