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Idempotents and Landweber exactness in brave new algebra

Idempotents and Landweber exactness in brave new algebra

J.P. May

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.


Homology, Homotopy and Applications, Vol. 3(2), 2001, pp. 355-359

http://www.rmi.acnet.ge/hha/volumes/2001/n2a4/v3n2a4.dvi (ps, dvi.gz, ps.gz, pdf)
ftp://ftp.rmi.acnet.ge/pub/hha/volumes/2001/n2a4/v3n2a4.dvi (ps, dvi.gz, ps.gz, pdf)