排序方式: 共有20条查询结果,搜索用时 15 毫秒
1.
R. Hazrat 《Proceedings of the American Mathematical Society》2002,130(2):311-314
This article provides a short and elementary proof of the key theorem of reduced -theory, namely Platonov's Congruence theorem. Our proof is based on Wedderburn's factorization theorem.
2.
Norihiko Minami 《Proceedings of the American Mathematical Society》2002,130(5):1557-1562
Let be a space of finite type. Set as usual, and define the mod support of by for 0.$"> Call sparse if there is no with
Then we show the relation for any finite type space with being sparse.
As a special case, we have and the main theorem of Ravenel, Wilson and Yagita is also generalized in terms of the mod support.
3.
Richard P. Groenewegen. 《Mathematics of Computation》2004,73(247):1443-1458
The tame kernel of the of a number field is the kernel of some explicit map , where the product runs over all finite primes of and is the residue class field at . When is a set of primes of , containing the infinite ones, we can consider the -unit group of . Then has a natural image in . The tame kernel is contained in this image if contains all finite primes of up to some bound. This is a theorem due to Bass and Tate. An explicit bound for imaginary quadratic fields was given by Browkin. In this article we give a bound, valid for any number field, that is smaller than Browkin's bound in the imaginary quadratic case and has better asymptotics. A simplified version of this bound says that we only have to include in all primes with norm up to , where is the discriminant of . Using this bound, one can find explicit generators for the tame kernel, and a ``long enough' search would also yield all relations. Unfortunately, we have no explicit formula to describe what ``long enough' means. However, using theorems from Keune, we can show that the tame kernel is computable.
4.
E. Berkove F. T. Farrell D. Juan-Pineda K. Pearson 《Transactions of the American Mathematical Society》2000,352(12):5689-5702
We prove the Farrell-Jones Isomorphism Conjecture for groups acting properly discontinuously via isometries on (real) hyperbolic -space with finite volume orbit space. We then apply this result to show that, for any Bianchi group , , , and vanish for .
5.
Moulay-Tahar Benameur 《Transactions of the American Mathematical Society》2003,355(1):119-142
In this paper, we prove a fixed point formula for flat bundles. To this end, we use cyclic cocycles which are constructed out of closed invariant currents. We show that such cyclic cocycles are equivariant with respect to isometric longitudinal actions of compact Lie groups. This enables us to prove fixed point formulae in the cyclic homology of the smooth convolution algebra of the foliation.
6.
Christian Nassau 《Transactions of the American Mathematical Society》2002,354(5):1749-1757
We show that for with its geometrically induced structure maps is not an Hopf algebroid because neither the augmentation nor the coproduct are multiplicative. As a consequence the algebra structure of is slightly different from what was supposed to be the case. We give formulas for and and show that the inversion of the formal group of is induced by an antimultiplicative involution . Some consequences for multiplicative and antimultiplicative automorphisms of for are also discussed.
7.
8.
Persistence approximation property was introduced by Hervé Oyono-Oyono and Guoliang Yu. This property provides a geometric obstruction to Baum-Connes conjecture. In this paper, the authors mainly discuss the persistence approximation property for maximal Roe algebras. They show that persistence approximation property of maximal Roe algebras follows from maximal coarse Baum-Connes conjecture. In particular, let X be a discrete metric space with bounded geometry, assume that X admits a fibred coarse embedding into Hilbert space and X is coarsely uniformly contractible, then C_(max)~*(X) has persistence approximation property. The authors also give an application of the quantitative K-theory to the maximal coarse Baum-Connes conjecture. 相似文献
9.
We determine the structure of the reduction modulo of the absolute de Rham-Witt complex of a smooth scheme over a discrete valuation ring of mixed characteristic with log-poles along the special fiber and show that the sub-sheaf fixed by the Frobenius map is isomorphic to the sheaf of -adic vanishing cycles. We use this result together with the main results of op. cit. to evaluate the algebraic -theory with finite coefficients of the quotient field of the henselian local ring at a generic point of the special fiber. The result affirms the Lichtenbaum-Quillen conjecture for this field.
10.
The power of the tangent bundle of the real projective space, its complexification and extendibility
Teiichi Kobayashi Hironori Yamasaki Toshio Yoshida 《Proceedings of the American Mathematical Society》2006,134(1):303-310
We establish the formulas on the power of the tangent bundle of the real projective -space and its complexification , and apply the formulas to the problem of extendibility and stable extendiblity of and .