Spec of a ring spectrum

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Vigleik Angeltveit

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Sep 6, 2005, 2:38:12 PM9/6/05
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Does anyone have a good definition of Spec of a ring spectrum? For
example, what is Spec of (p-completed) K-theory? Does it matter that
K/p is not strictly commutative, or that there is a big moduli space
of A-infinity multiplications on K/p?

Vigleik

Mark Behrens

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Sep 6, 2005, 2:58:58 PM9/6/05
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Well - there is Jacob's definition, where it is spec of pi_0 together
with the structure sheaf of E_infty ring spectra. But my guess is
that this is not the spec you are looking for.

-M
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