Title: <i>K</i><sub>1</sub>of Corner Skew Laurent Polynomial Rings and Applications
Abstract: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 r...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). Key Words: K 1 Leavitt algebraSkew Laurent polynomial ringMathematics Subject Classification: 16E2016E5019A4919B99 ACKNOWLEDGMENT Partially supported by DGI and European Regional Development Fund, jointly, through Project BFM2002-01390, and by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya. The second author is partially supported by a grant of the Departament de Matemàtiques, Universitat Autònoma de Barcelona. Notes #Communicated by T. Lenagan.Read More
Publication Year: 2005
Publication Date: 2005-06-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 17
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Title: $<i>K</i><sub>1</sub>of Corner Skew Laurent Polynomial Rings and Applications
Abstract: 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). Key Words: K 1 Leavitt algebraSkew Laurent polynomial ringMathematics Subject Classification: 16E2016E5019A4919B99 ACKNOWLEDGMENT Partially supported by DGI and European Regional Development Fund, jointly, through Project BFM2002-01390, and by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya. The second author is partially supported by a grant of the Departament de Matemàtiques, Universitat Autònoma de Barcelona. Notes #Communicated by T. Lenagan.