The completion theorem in twisted equivariant K-theory for proper actions

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2022-01-31 DOI:10.1007/s40062-021-00299-z

Noé Bárcenas, Mario Velásquez

引用次数: 0

Abstract

We compare different algebraic structures in twisted equivariant K-theory for proper actions of discrete groups. After the construction of a module structure over untwisted equivariant K-theory, we prove a completion Theorem of Atiyah–Segal type for twisted equivariant K-theory. Using a universal coefficient theorem, we prove a cocompletion Theorem for twisted Borel K-homology for discrete groups.

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固有作用的扭曲等变k理论中的补全定理

比较了离散群固有作用的扭曲等变k理论中不同的代数结构。在构造了非扭等变k理论的一个模结构后，证明了扭等变k理论的一个Atiyah-Segal型补全定理。利用一个普适系数定理，证明了离散群上扭曲Borel k -同调的一个协补定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.