<i>K</i>₁of 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.