Homology, Homotopy and Applications

Volume 3 (2001)

Number 2

Volume of a Workshop at Stanford University

Idempotents and Landweber exactness in brave new algebra

Pages: 355 – 359

DOI: http://dx.doi.org/10.4310/HHA.2001.v3.n2.a4

Author

J. P. May (Department of Mathematics, University of Chicago, Chicago, Ilinois, U.S.A.)

Abstract

We explain how idempotents in homotopy groups give rise to splittings of homotopy categories of modules over commutative $S$-algebras, and we observe that there are naturally occurring equivariant examples involving idempotents in Burnside rings. We then give a version of the Landweber exact functor theorem that applies to $MU$-modules.

Keywords

Brown-Peterson spectrum, Landweber exact functor theorem, complex cobordism, $E_{\infty}$ ring spectrum

2010 Mathematics Subject Classification

55N20, 55N91, 55P43

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