K-theory spectrum

In mathematics, given a ring R, the K-theory spectrum of R is an Ω-spectrum KR whose nth term is given by, writing ΣR for the suspension of R,

(KR)n=K0(ΣnR)×BGL(ΣnR)+,

where "+" means the Quillen's + construction.[1] By definition, Ki(R)=πi(KR).

## References

1. ↑ Dominique Arlettaz, Algebraic K-theory of rings from a topological view point [1]

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