搜索结果: 1-15 共查到“知识库 代数K理论”相关记录40条 . 查询时间(2.778 秒)
The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces
Toric Varieties Algebraic K-Theory Weighted Projective Spaces K-regularity
2012/7/11
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
The product structure of the equivariant K-theory of the based loop group of SU(2)
equivariant K-theory Lie group loop group based loop spaces
2012/6/30
Let G=SU(2) and let \Omega G denote the space of continuous based loops in G, equipped with the pointwise conjugation action of G. It is a classical fact in topology that the ordinary cohomology H^*(\...
Equivariant semi-topological K-homology and a theorem of Thomason
Equivariant semi-topological K-homology a theorem of Thomason K-Theory and Homology
2012/6/19
We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group. Moreover, we show that Walker's theorem ...
Algebraic Kasparov K-theory. II
Bivariant algebraic K-theory homotopy theory of algebras triangulated categories
2012/6/12
A kind of motivic stable homotopy theory of algebras is developed. Explicit fibrant replacements for the S^1-spectrum and (S^1,\G)-bispectrum of an algebra are constructed. As an application, unstable...
Hochschild homology of Hopf algebras and free Yetter-Drinfeld resolutions of the counit
Hochschild homology of Hopf algebras free Yetter-Drinfeld resolutions the counit K-Theory and Homology
2012/4/18
We show that if $A$ and $H$ are Hopf algebras that have equivalent tensor categories of comodules, then one can transport what we call a free Yetter-Drinfeld resolution of the counit of $A$ to the sam...
Higher algebraic $K$-groups and $\mathcal D$-split sequences
Algebraic K-theory Derived equivalence D -split sequence GV-ideal Mayer-Vietoris sequence
2011/9/21
Abstract: In this paper, we use $\mathcal D$-split sequences and derived equivalences to provide formulas for calculation of higher algebraic $K$-groups (or mod-$p$ $K$-groups) of certain matrix subri...
(Self-)similar groups and the Farrell-Jones conjectures
(Self-)similar groups the Farrell-Jones conjectures K-Theory and Homology
2011/9/21
Abstract: We show that contracting self-similar groups satisfy the Farrell-Jones conjectures as soon as their universal contracting cover is non-positively curved. This applies in particular to bounde...
Dualities in Field Theories and the Role of K-Theory
duality S-duality T-duality K-theory AdS/CFT correspondence D-brane
2011/10/9
Abstract: It is now known (or in some cases just believed) that many quantum field theories exhibit dualities, equivalences with the same or a different theory in which things appear very different, b...
K-Theories for Certain Infinite Rank Bundles
K-theory Chern Character Pseudodifferential Operator
2011/9/20
Abstract: Several authors have recently constructed characteristic classes for classes of infinite rank vector bundles appearing in topology and physics. These include the tangent bundle to the space ...
Character formul?and GKRS multiplets in equivariant K-theory
Character formul?GKRS multiplets equivariant K-theory
2011/9/14
Abstract: Let $G$ be a compact Lie group, $H$ a closed subgroup of maximal rank and $X$ a topological $G$-space. We obtain a variety of results concerning the structure of the $H$-equivariant K-ring $...
A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples
plus-construction Bousfield localization Moore spaces zero-in-the-spectrum K-Theory and Homology
2011/9/14
Abstract: We introduce a construction adding low-dimensional cells to a space that satisfies certain low-dimensional conditions; it preserves high-dimensional homology with appropriate coefficients. T...
Index character associated to the projective Dirac operator
twisted index theory Clifford module K-Theory and Homology Differential Geometry
2011/9/9
Abstract: We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the p...
Assembly maps with coefficients in topological algebras and the integral K-theoretic Novikov conjecture
topological algebras the integral K-theoretic Novikov conjecture K-Theory and Homology Algebraic Topology
2011/9/2
Abstract: We prove that any countable discrete and torsion free subgroup of a general linear group over an arbitrary field or a similar subgroup of an almost connected Lie group satisfies the integral...
Cyclic homology of braided Hopf crossed products
Crossed products Hochschild (co)homology Cyclic homology
2011/8/25
Abstract: Let k be a field, A a unitary associative k-algebra and V a k-vector space endowed with a distinguished element 1_V. We obtain a mixed complex, simpler that the canonical one, that gives the...
Index theory for locally compact noncommutative geometries
Index theory compact noncommutative geometries Operator Algebras K-Theory and Homology
2011/8/25
Abstract: Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, we prove the local index formula for spectral triples over nonunital alg...