Definition 9.4.7. The periodic complex K-theory spectrum is the colimit \[ \KU := \ku [\beta ^{-1}] := \colim \big (\ku \xrightarrow {b} \ku [-2] \xrightarrow {b[-2]} \ku [-4] \to \cdots \big ) \qin \Sp . \] We write \(\iota \colon \ku \to \KU \) for the canonical map into the colimit.
Generated from the authoritative LaTeX source.