The double coset theorem formula for algebraic K-theory of spaces

Wojciech Dorabiała

doi:10.1023/A:1015654923848

The double coset theorem formula for algebraic K-theory of spaces

Wojciech Dorabiała

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The goal of this paper is to show that if a smooth fiber bundle has a compact Lie group as a structure group, then the transfer map for the algebraic K-theory of spaces satisfies analogs of the Mackey double coset formula and Feshbach's sum formula. We also prove a 'cut and paste' formula for parametrized Reidemeister torsion.

Original language	English (US)
Pages (from-to)	251-276
Number of pages	26
Journal	K-Theory
Volume	25
Issue number	3
DOIs	https://doi.org/10.1023/A:1015654923848
State	Published - 2002

All Science Journal Classification (ASJC) codes

General Mathematics

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AB - The goal of this paper is to show that if a smooth fiber bundle has a compact Lie group as a structure group, then the transfer map for the algebraic K-theory of spaces satisfies analogs of the Mackey double coset formula and Feshbach's sum formula. We also prove a 'cut and paste' formula for parametrized Reidemeister torsion.

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The double coset theorem formula for algebraic K-theory of spaces

Abstract

All Science Journal Classification (ASJC) codes

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