搜索结果: 1-12 共查到“代数K理论 K-theory”相关记录12条 . 查询时间(0.229 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^*(\...
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...
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...
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 $...
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...
Structure and K-theory of crossed products by proper actions
Structure K-theory of crossed products proper actions
2011/2/25
We study the C*-algebra crossed product C0(X) ⋊ G of a locally compact group G acting properly on a locally compact Hausdorff space X.Under some mild extra conditions, which are automatic if G i...
Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries
Modular Invariants Twisted Equivariant K-theory Dynkin diagram symmetries
2011/1/19
The modular invariant partition functions of conformal eld theory (CFT)have a rich interpretation within von Neumann algebras (subfactors), which has led to the development of structures such as the ...
K-theory of $\lambda$-rings and tensorlike functors
K-theory of $\lambda$-rings tensorlike functors
2011/1/18
We refine the invariant on K2(A[Cpe ]/Im, (T − 1)) constructed in a previous paper to one which is an isomorphism for all -rings A.
Many papers have been devoted recently to twisted K-theory as originally defined in [15] and [29]. See for instance the references [2],[23] and the very accessible paper [30].
Let A be a not necessarily commutative monoid with zero such that projective A-acts are free. This paper shows that the algebraic K-groups of A can be defined using the +-construction and the Q-constr...
If A is a homotopy cartesian square of ring spectra satisfying connectivity hypotheses, then the cube induced by Goodwillie’s integral cyclotomic trace K(A) ! TC(A) is homotopy cartesian. In other wor...