Ideal related K-theory with coefficients

Soren Eilers; Gunnar Restorff; Efren Ruiz

Ideal related K-theory with coefficients

Soren Eilers, Gunnar Restorff, Efren Ruiz

Department of Mathematical Sciences

1 Citation (Scopus)

Abstract

In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras

Original language	English
Journal	Houston Journal of Mathematics
Volume	43
Issue number	2
Pages (from-to)	403-458
ISSN	0362-1588
Publication status	Published - 2017

Keywords

Extensions
classification
six term exact sequence
K-theory with coefficients
universal multi-coefficient theorem

Cite this

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title = "Ideal related K-theory with coefficients",

abstract = "In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras",

keywords = "Extensions, classification, six term exact sequence, K-theory with coefficients, universal multi-coefficient theorem",

author = "Soren Eilers and Gunnar Restorff and Efren Ruiz",

year = "2017",

language = "English",

volume = "43",

pages = "403--458",

journal = "Houston Journal of Mathematics",

issn = "0362-1588",

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TY - JOUR

T1 - Ideal related K-theory with coefficients

AU - Eilers, Soren

AU - Restorff, Gunnar

AU - Ruiz, Efren

PY - 2017

Y1 - 2017

N2 - In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras

AB - In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras

KW - Extensions

KW - classification

KW - six term exact sequence

KW - K-theory with coefficients

KW - universal multi-coefficient theorem

M3 - Journal article

SN - 0362-1588

VL - 43

SP - 403

EP - 458

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

IS - 2

ER -