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Algebraic $K$-Theory and Localised Stable Homotopy Theory

Victor Percy Snaith

出版	American Mathematical Soc., 1983
主題	Mathematics / Topology
ISBN	08218228029780821822807
URL	http://books.google.com.hk/books?id=-i7UCQAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

There is a homomorphism from the stable homotopy of the classifying space of the group of units in a ring to its algebraic [italic]K-theory. When the ring has enough roots of unity a "Bott element" exists in these groups (taken with coefficients). We compute the groups obtained by inverting the Bott element. This computation is used in conjunction with homomorphism to construct algebraic [italic]K-theory classes and to give upper bounds on [italic]K-theory with the Bott element inverted.