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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
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On adic genus and lambda-rings

Author(s): Donald Yau
Journal: Trans. Amer. Math. Soc. 357 (2005), 1341-1348.
MSC (2000): Primary 55P15; Secondary 55N15, 55P60, 55S25
Posted: May 10, 2004
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Abstract: Sufficient conditions on a space are given which guarantee that the $K$-theory ring is an invariant of the adic genus. An immediate consequence of this result about adic genus is that for any positive integer $n$, the power series ring $\mathbf{Z} \lbrack \lbrack x_1, \ldots , x_n \rbrack \rbrack$ admits uncountably many pairwise non-isomorphic $\lambda$-ring structures.


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Additional Information:

Donald Yau
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
Email: dyau@math.uiuc.edu

DOI: 10.1090/S0002-9947-04-03493-2
PII: S 0002-9947(04)03493-2
Keywords: Adic genus, lambda-rings
Received by editor(s): May 1, 2002
Received by editor(s) in revised form: August 1, 2003
Posted: May 10, 2004
Copyright of article: Copyright 2004, American Mathematical Society


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