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31.
In this paper we study the stability of the Baum–Connes conjecture with coefficients undertaking group extensions. For this, it is necessary to extend Kasparov's equivariant KK-theory to an equivariant theory for twisted actions of groups on C
*-algebras. As a consequence of our stability results, we are able to reduce the problem of whether closed subgroups of connected groups satisfy the Baum–Connes conjecture, with coefficients to the special case of center-free semi-simple Lie groups. 相似文献
32.
V. A. Krasnov 《Mathematical Notes》2000,67(2):168-175
The map of the Brauer group of a real algebraic surface to the invariant part of the Brauer group of its complexification
is studied. In this study, the real cycle map of the Picard group is used.
Translated fromMatematicheskie Zametki, Vol. 67, No. 2, pp. 211–220, February, 2000. 相似文献
33.
V. A. Krasnov 《Mathematical Notes》2000,67(3):296-300
The Brauer group of a noncomplete real algebraic surface is calculated. The calculations make use of equivariant cohomology.
The resulting formula is similar to the formula for a complete surface, but the proof is substantially different.
Translated fromMatematicheskie Zametki, Vol. 67, No. 3, pp. 355–359, March, 2000. 相似文献
34.
Bernhard Köck 《Compositio Mathematica》2000,124(2):195-217
We prove a certain Riemann–Roch-type formula for symmetric powers of Galois modules on Dedekind schemes which, in the number field or function field case, specializes to a formula of Burns and Chinburg for Cassou–Noguès–Taylor operations. 相似文献
35.
带有结构变化的线性模型中参数估计的一些结果 总被引:2,自引:0,他引:2
本文在一些纯量损失和矩阵损失下研究带有结构变化的正态线性模型中参数的估计问题.分别给出 了存在回归系数的一致最小风险无偏(UMRU)估计和一致最小风险同变(UMRE)估计的充要条件, 证明了不存在误差方差在仿射变换群下的UMRE估计.导出了回归系数的最小二乘估计的可容许性 和极小极大性. 相似文献
36.
Kazuhisa Shimakawa 《K-Theory》1991,5(4):373-394
We construct an equivariant infinite loop space machine denned on certain class of monoidal O
G
-categories which have built-in Mackey structure. Applications include the equivariant infinite delooping of the classifying space BF(G) for stable spherical G-fibrations and also the construction of an infinite loop G-space E(X, G) with
0
HE
(X, G) naturally isomorphic to the equivariant Whitehead groups Wh
H
(X) of given G-space X.Dedicated to Professor Shôrô Araki on his sixtieth birthday 相似文献
37.
On the homotopy fixed point problem for free loop spaces and other function complexes 总被引:1,自引:0,他引:1
Gunnar Carlsson 《K-Theory》1991,4(4):339-361
Let G be a finite group, let X and Y be finite G-complexes, and suppose that for each K
G, Y
K is dim(X
K)-connected and simple. G acts on the function complex F(X, Y) by conjugation of maps. We give a complete analysis of the homotopy fixed point set of the space
F(X, Y). As a corollary, we are able to analyze at a prime p, the homotopy fixed point set of the circle action on X, where X denotes the free loop space of X, and X is a simply connected finite complex.Supported in part by NSF DMS 86-02430.To A. Grothendieck on the occasion of his sixtieth birthday 相似文献
38.
Zhang Shiqing 《Proceedings of the American Mathematical Society》1996,124(10):3039-3046
Using the equivariant Ljusternik-Schnirelmann theory, we prove that there are at least geometrically distinct noncollision orbits with prescribed energy for a class of planar N-body type problems with strong force potentials.
39.
We discuss and formulate the correct equivariant generalization of the strong Novikov conjecture. This will be the statement that certain G-equivariant higher signatures (living in suitable equivariant K-groups) are invariant under G-maps of manifolds which, nonequivariantly, are homotopy equivalences preserving orientation. We prove this conjecture for manifolds modeled on a complete Riemannian manifold of nonpositive curvature on which G (a compact Lie group) acts by isometries. We also use the theory of harmonic maps to construct (in some cases) G-maps into such model spaces.Dedicated to Alexander GrothendieckPartially supported by NSF Grants DMS 84-00900 and 87-00551.Partially supported by NSF Grant DMS 86-02980, a Presidential Young Investigator Award, and a Sloan Foundation Fellowship. 相似文献
40.
Saad Baaj et Georges Skandalis 《K-Theory》1989,2(6):683-721
Résumé A toute paire (A, B) de C*-algèbres, munies de coactions d'une C*-algèbre de Hopf S nous associons un groupe KK
S
(A, B) de théorie de Kasparov équivariante par S. Le produit de Kasparov se généralise à notre cadre. Dans le cas S=C
0
(G) où G est un groupe localement compact, on retrouve le groupe de Kasparov KK
G
(A, B). Nous montrons que les groupes KK
G
(A, B) et KK
C*(G)
(A × G, B × G) sont naturellement isomorphes. Nous en déduisons que si est un groupe discret moyennable, les foncteurs KK
(·,D) et KK
(D,·) sont demi-exacts.
To every pair (A, B) of C*-algebras acted upon by a Hopf C*-algebra S, we associate an S-equivariant Kasparov theory group KK S(A, B). The Kasparov product generalizes to our setting. For S=C 0(G) where G is a locally compact group, we recover Kasparov's group KK G(A, B). We show that the groups KK G(A, B) and KK C*(G) (A × G, B × G) are naturally isomorphic. We deduce that if is a discrete amenable group, the functors KK (·,D) are KK (D,·) are half-exact.相似文献