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On the spectrum of algebraic $K$-theory

On the spectrum of algebraic $K$-theory

The groups K t (A) of Bass for i < 0 are identified as homotopy groups of the spectrum of algebraic A^-theory.The spectrum itself is identified.Applications to Laurent polynomials and to ^-theory exact sequences are given.Quillen has recently proposed a K-theory for unital rings [12], [13].He associates to a ring …