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<h2 id="k-theory">K-theory</h2> <p>Lurie defines the <a href="/facts/K-theory/qI1kBrjV">K-theory</a> of a ring spectrum <i>R</i> to be the K-theory of the ∞-category of <a href="/facts/Perfect_module/RAuwLe32">perfect modules</a> over <i>R</i> (a perfect module being defined as a compact object in the ∞-category of module spectra.) </p> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/G-spectrum/drWFnjy0">G-spectrum</a></li></ul> <ul><li>J. Lurie, <a href="http://www.math.harvard.edu/~lurie/281notes/Lecture19-Rings.pdf">Lecture 19: Algebraic K-theory of Ring Spectra</a></li></ul>