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On groups with cyclic torsion
Bredon homology classifying space for proper actions aspherical presentations Hempel groups Baum-Connes conjecture
2011/8/24
Abstract: In this paper we introduce a common framework for describing the topological part of the Baum-Connes conjecture for a wide class of groups. We compute the Bredon homology for groups with asp...
Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four
monomial ideal, arithmetical rank, projective dimension
2011/8/24
Abstract: Let $I$ be a squarefree monomial ideal of a polynomial ring $S$. In this paper, we prove that the arithmetical rank of $I$ is equal to the projective dimension of $S/I$ when one of the follo...
This article proves a conjecture by S.-C. Liu and C.-C. Yeh about Catalan numbers, which states that odd Catalan numbers can take exactly k − 1 distinct values modulo 2k, namely the values C21 &...
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...
A subset S of vertices of a graph G is called a k-path vertex cover if every path of order k in G contains at least one vertex from S. Denote by k(G)the minimum cardinality of a k-path vertex cover 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.
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2011/3/1
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
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].
Analysis of a turbulence model related to that of k-epsilon for stationary and compressible flows
turbulence modelling k − ε model compressible flows
2010/12/10
We shall study a turbulence model arising in compressible fluid mechanics.The model called θ − ϕ we study is closely related to the k − ε model. We shall establish existence, positivi...
Connectedness of Strong k-Colour Graphs
strong k-vertex-colouring strong k-colour graph strong colour graph
2010/12/10
For a positive integer k and a graph G, we consider proper vertex-colourings of G with k colours in which all k colours are actually used. We call such a colouring a strong k-colouring. The strong k-c...
A new perspective on k-triangulations
k-triangulation triangulated sphere enumerative combinatorics
2010/12/9
We connect k-triangulations of a convex n-gon to the theory of Schubert polynomials. We use this connection to prove that the simplicial complex with k-triangulations as facets is a vertex-decomposabl...
Somekawa's K-groups and Voevodsky's Hom groups (preliminary version)
Somekawa's K-groups Voevodsky's Hom groups (preliminary version)
2010/12/10
We construct a surjective homomorphism from So-mekawa’s K-group associated to a finite collection of semi-abelian varieties over a perfect field to a corresponding Hom group in Vo-
evodsky’s triangul...
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...
Robust Transceiver Design for K-Pairs Quasi-Static MIMO Interference Channels via Semi-Definite Relaxation
K-Pairs Quasi-Static MIMO Interference Channels Semi-Definite Relaxation
2010/12/9
In this paper, we propose a robust transceiver design for the K-pair quasi-static MIMO interference channel. Each transmitter is equipped with M antennas, each receiver is
equipped with N antennas.