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  Shortening binary complexes and commutativity of K-theory with infinite products

Kasprowski, D., & Winges, C. (2020). Shortening binary complexes and commutativity of K-theory with infinite products. Transactions of the American Mathematical Society. Series B, 7, 1-23. doi:10.1090/btran/43.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-9261-7 Version Permalink: https://hdl.handle.net/21.11116/0000-0006-9262-6
Genre: Journal Article
Latex : Shortening binary complexes and commutativity of $K$-theory with infinite products

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Kasprowski-Winges_Shortening binary complexes and commutativity of K-theory with infinite products_2020.pdf (Publisher version), 283KB
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Open access © Copyright 2020 by the author under Creative Commons Attribution 3.0 License (CC BY 3.0)
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https://doi.org/10.1090/btran/43 (Publisher version)
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 Creators:
Kasprowski, Daniel, Author
Winges, Christoph1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, K-Theory and Homology
 Abstract: We show that in Grayson's model of higher algebraic $K$-theory using binary
acyclic complexes, the complexes of length two suffice to generate the whole
group. Moreover, we prove that the comparison map from Nenashev's model for
$K_1$ to Grayson's model for $K_1$ is an isomorphism. It follows that algebraic
$K$-theory of exact categories commutes with infinite products.

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Language(s): eng - English
 Dates: 2020-03-25
 Publication Status: Published online
 Pages: 23
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1705.09116
URI: http://arxiv.org/abs/1705.09116
DOI: 10.1090/btran/43
 Degree: -

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Title: Transactions of the American Mathematical Society. Series B
  Abbreviation : Trans. Amer. Math. Soc. Ser. B
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 7 Sequence Number: - Start / End Page: 1 - 23 Identifier: -