词-双曲群的有限可和$\gamma$-元素

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Noncommutative Geometry Pub Date : 2020-01-27 DOI:10.4171/jncg/446

James M Cabrera, M. Puschnigg

引用次数: 0

摘要

我们给出了任意字-双曲群$(\Gamma,S)$的有限可和简化“Gamma”元素$\gamma_r\,\in\,KK(C^*_r(\Gamma),{\mathbb C})$的两个显式组合结构，并根据生成集$S\subset\Gamma$的基数和相关Cayley图的双曲常数获得了它们的可和界。

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Finitely summable $\gamma$-elements for word-hyperbolic groups

We present two explicit combinatorial constructions of finitely summable reduced "Gamma"-elements $\gamma_r\,\in\,KK(C^*_r(\Gamma),{\mathbb C})$ for any word-hyperbolic group $(\Gamma,S)$ and obtain summability bounds for them in terms of the cardinality of the generating set $S\subset\Gamma$ and the hyperbolicity constant of the associated Cayley graph.

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来源期刊

Journal of Noncommutative Geometry 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Noncommutative Geometry covers the noncommutative world in all its aspects. It is devoted to publication of research articles which represent major advances in the area of noncommutative geometry and its applications to other fields of mathematics and theoretical physics. Topics covered include in particular: Hochschild and cyclic cohomology K-theory and index theory Measure theory and topology of noncommutative spaces, operator algebras Spectral geometry of noncommutative spaces Noncommutative algebraic geometry Hopf algebras and quantum groups Foliations, groupoids, stacks, gerbes Deformations and quantization Noncommutative spaces in number theory and arithmetic geometry Noncommutative geometry in physics: QFT, renormalization, gauge theory, string theory, gravity, mirror symmetry, solid state physics, statistical mechanics.