Singular coefficients in the K–theoretic Farrell–Jones conjecture

Cortiñas, Guillermo¹ ; Rodríguez Cirone, Emanuel¹

¹Departamento de Matemática-IMAS, Universidad de Buenos Aires, Ciudad Universitaria Pabellón 1, 1428 Buenos Aires, Argentina

Algebraic and Geometric Topology, Tome 16 (2016) no. 1, pp. 129-147

Résumé

Let G be a group and let k be a field of characteristic zero. We prove that if the Farrell–Jones conjecture for the K–theory of R[G] is satisfied for every smooth k–algebra R, then it is also satisfied for every commutative k–algebra R.

Détail

DOI : 10.2140/agt.2016.16.129

Classification : 18F25, 19D55, 55N91
Keywords: K–theory, Farrell–Jones conjecture

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