Geometry & Topology
- Geom. Topol.
- Volume 8, Number 2 (2004), 645-673.
Units of ring spectra and their traces in algebraic $K$–theory
Let be the units of a commutative ring spectrum . In this paper we identify the composition
where is the algebraic –theory and the topological Hochschild homology of . As a corollary we show that classes in not annihilated by the stable Hopf map give rise to non-trivial classes in for .
Geom. Topol., Volume 8, Number 2 (2004), 645-673.
Received: 25 November 2003
Revised: 21 April 2004
Accepted: 13 March 2004
First available in Project Euclid: 21 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 19D55: $K$-theory and homology; cyclic homology and cohomology [See also 18G60] 55P43: Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.)
Secondary: 19D10: Algebraic $K$-theory of spaces 55P48: Loop space machines, operads [See also 18D50]
Schlichtkrull, Christian. Units of ring spectra and their traces in algebraic $K$–theory. Geom. Topol. 8 (2004), no. 2, 645--673. doi:10.2140/gt.2004.8.645. https://projecteuclid.org/euclid.gt/1513883412