K<inf>1</inf> of corner skew Laurent polynomial rings and applications

Pere Ara; Miquel Brustenga

doi:https://doi.org/10.1081/AGB-200063582

K<inf>1</inf> of corner skew Laurent polynomial rings and applications

Pere Ara, Miquel Brustenga

Department of Mathematics

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

7 Citations (Scopus)

Abstract

We give a description of the Whitehead group of a corner skew Laurent polynomial ring A[t+, t-; α] associated with an isomorphism α: A → pAp from a unital associative ring A onto a corner ring pAp. Using this, we compute the Whitehead group of the Leavitt algebras of type (1, n). Copyright © Taylor & Francis, Inc.

Original language	English
Pages (from-to)	2231-2252
Journal	Communications in Algebra
Volume	33
DOIs	https://doi.org/10.1081/AGB-200063582
Publication status	Published - 30 Nov 2005

Keywords

K 1
Leavitt algebra
Skew Laurent polynomial ring

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https://doi.org/10.1081/AGB-200063582

Cite this

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title = "K1 of corner skew Laurent polynomial rings and applications",

abstract = "We give a description of the Whitehead group of a corner skew Laurent polynomial ring A[t+, t-; α] associated with an isomorphism α: A → pAp from a unital associative ring A onto a corner ring pAp. Using this, we compute the Whitehead group of the Leavitt algebras of type (1, n). Copyright {\textcopyright} Taylor & Francis, Inc.",

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author = "Pere Ara and Miquel Brustenga",

year = "2005",

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doi = "https://doi.org/10.1081/AGB-200063582",

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T1 - K1 of corner skew Laurent polynomial rings and applications

AU - Ara, Pere

AU - Brustenga, Miquel

PY - 2005/11/30

Y1 - 2005/11/30

N2 - We give a description of the Whitehead group of a corner skew Laurent polynomial ring A[t+, t-; α] associated with an isomorphism α: A → pAp from a unital associative ring A onto a corner ring pAp. Using this, we compute the Whitehead group of the Leavitt algebras of type (1, n). Copyright © Taylor & Francis, Inc.

AB - We give a description of the Whitehead group of a corner skew Laurent polynomial ring A[t+, t-; α] associated with an isomorphism α: A → pAp from a unital associative ring A onto a corner ring pAp. Using this, we compute the Whitehead group of the Leavitt algebras of type (1, n). Copyright © Taylor & Francis, Inc.

KW - K 1

KW - Leavitt algebra

KW - Skew Laurent polynomial ring

U2 - https://doi.org/10.1081/AGB-200063582

DO - https://doi.org/10.1081/AGB-200063582

M3 - Article

VL - 33

SP - 2231

EP - 2252

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

ER -

K<inf>1</inf> of corner skew Laurent polynomial rings and applications

Abstract

Keywords

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