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Algebraic K-theory of monoid algebras

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

Let R be a commutative noetherian ring and M is a commutative partially cancellative monoid.We are interested in understanding the K-theory of the monoid algebra R[M] in terms of  the K-theory of R.If  M=Z_+ (or Zn), then classically there are many results (e.g. homotopy invariance, K_0-stability)which holds for R[M]. In this talk, we will see how far those results could be extended for R[M], where M is any monoid.

This talk is part of the Isaac Newton Institute Seminar Series series.

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