Coassembly is a homotopy limit map

被引：1

作者：

Malkiewich, Cary ^{[1
]}

Merling, Mona ^{[2
]}

机构：

[1] SUNY Binghamton, Dept Math, Binghamton, NY 13902 USA

[2] Univ Penn, Dept Math, Phialdelphia, PA USA

来源：

ANNALS OF K-THEORY | 2020年 / 5卷 / 03期

关键词：

coassembly; A-theory; equivariant A-theory; homotopy limit; bivariant A-theory; ALGEBRAIC K-THEORY; POINT-OF-VIEW; PARAMETRIZED SPECTRA; ASSEMBLY MAPS; EMBEDDINGS; CATEGORY; THEOREM;

D O I：

10.2140/akt.2020.5.373

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a claim by Williams that the coassembly map is a homotopy limit map. As an application, we show that the homotopy limit map for the coarse version of equivariant A-theory agrees with the coassembly map for bivariant A-theory that appears in the statement of the topological Riemann-Roch theorem.

引用

页码：373 / 394

页数：22

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