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l-adic and Z/l∞-algebraic and topological K-theory

Published online by Cambridge University Press:  20 January 2009

Victor Snaith
Victor Snaith
Affiliation:
Department of MathematicsUniversity Of Western OntarioLondon, Ontario N6A 5B7, Canada
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Let l be an odd prime and let A be a commutative ring containing 1/l. Let K*(A;Z/lv) denote the mod lv algebraic K-theory of A [3]. As explained in [4] there exists a “Bott element” βv∈K21v–1(l–1)(Z[1/l];Z/lv) and, using the K-theory product we may, following [16, Part IV], form

which is defined as the direct limit of iterated multiplication by βv. There is a canonical localisation map

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 1 , February 1985 , pp. 73 - 90
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

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