On adic genus and lambda-rings

Yau, Donald

doi:10.1090/S0002-9947-04-03493-2

On adic genus and lambda-rings
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by Donald Yau

Trans. Amer. Math. Soc. 357 (2005), 1341-1348

DOI: https://doi.org/10.1090/S0002-9947-04-03493-2

Published electronically: 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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