Zobrazeno 1 - 10
of 42
pro vyhledávání: '"WULFF, CHRISTOPHER"'
Autor:
Wulff, Christopher
In previous definition of $\mathrm{E}$-theory, separability of the $\mathrm{C}^*$-algebras is needed either to construct the composition product or to prove the long exact sequences. Considering the latter, the potential failure of the long exact seq
Externí odkaz:
http://arxiv.org/abs/2212.07216
Autor:
Wulff, Christopher
Publikováno v:
Res. Math. Sci. 8, No. 3, Paper No. 36, 64 p. (2021)
We construct secondary cup and cap products on coarse (co-)homology theories from given cross and slant products. They are defined for coarse spaces relative to weak generalized controlled deformation retracts. On ordinary coarse cohomology, our seco
Externí odkaz:
http://arxiv.org/abs/2012.11296
Autor:
Wulff, Christopher
Publikováno v:
SIGMA 18 (2022), 057, 62 pages
We present an Eilenberg-Steenrod-like axiomatic framework for equivariant coarse homology and cohomology theories. We also discuss a general construction of such coarse theories from topological ones and the associated transgression maps. A large par
Externí odkaz:
http://arxiv.org/abs/2006.02053
Publikováno v:
Ann. Inst. Fourier, Volume 71 (2021) no. 3, pp. 913-1021
We construct a slant product $/ \colon \mathrm{S}_p(X \times Y) \times \mathrm{K}_{1-q}(\mathfrak{c}^{\mathrm{red}}Y) \to \mathrm{S}_{p-q}(X)$ on the analytic structure group of Higson and Roe and the K-theory of the stable Higson corona of Emerson a
Externí odkaz:
http://arxiv.org/abs/1909.03777
Autor:
Engel, Alexander, Wulff, Christopher
This paper is a systematic approach to the construction of coronas (i.e. Higson dominated boundaries at infinity) of combable spaces. We introduce three additional properties for combings: properness, coherence and expandingness. Properness is the co
Externí odkaz:
http://arxiv.org/abs/1711.06836
Autor:
Wulff, Christopher
A significant theorem of L\"uck says that the first $L^2$-Betti number of the total space of a fibration vanishes under some conditions on the fundamental groups. The proof is based on constructions on chain complexes. In the present paper, we transl
Externí odkaz:
http://arxiv.org/abs/1611.08253
Autor:
Wulff, Christopher
Several formulas for computing coarse indices of twisted Dirac type operators are introduced. One type of such formulas is by composition product in $E$-theory. The other type is by module multiplications in $K$-theory, which also yields an index the
Externí odkaz:
http://arxiv.org/abs/1606.01297
Autor:
Wulff, Christopher
Pursuing conjectures of John Roe, we use the stable Higson corona of foliated cones to construct a new $K$-theory model for the leaf space of a foliation. This new $K$-theory model is -- in contrast to Alain Connes' $K$-theory model -- a ring. We sho
Externí odkaz:
http://arxiv.org/abs/1510.04470
Autor:
Wulff, Christopher
The $K$-theory of the stable Higson corona of a coarse space carries a canonical ring structure. This ring is the domain of an unreduced version of the coarse co-assembly map of Emerson and Meyer. We show that the target also carries a ring structure
Externí odkaz:
http://arxiv.org/abs/1412.1691
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