Units of ring spectra and their traces in algebraic K-theory
By Christian Schlichtkrull. 2004
62 citations recorded by the source corpus.
Let GL1(R) be the units of a commutative ring spectrum R. In this paper we identify the composition
Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4146c51a6cd2564549ccb0e13b64ee0e7158a447
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In Algebra and Number Theory
In Applied Mathematics
- Andrew Justin Blumberg
- S. Sagave
- Jon P. May
- J. Sigurdsson
- R. Cohen
- M. Hopkins
- S. Schwede
- Clark Barwick
In Mathematical Physics
Citations in the corpus
- What precisely are E∞ring spaces and E∞ring spectra? (2009, background): “The constructions of [53] and [20] bear no relationship to E∞ ring spaces as they stand and therefore cannot be used to retrieve the earlier applications or to achieve analogous future applications.”
- Parametrized homotopy theory (2004, background): “(In [142], our IFCP’s are called I-monoids, which is reasonable in a context where monoid-valued I-FCP’s are not considered).”
- Units of ring spectra and Thom spectra (2008, background): “commutative S-algebra by an associative S-algebra instead, but in this case it is impossible to recover the E∞ structure on GL1R. To describe GL1Rin this setting requires a different construction; see [Sch04] or [L09] for a description. The problem that arisesaboveis a manifestation ofLewis’s theorem”
- Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory (2014, unknown): “For example, Schlichtkrull [32] studied the units of a symmetric ring spectrum, and May and Sigurdsson [29] have studied units and orientations from the perspective of their categories of parameterized spectra.”
- Diagram spaces and symmetric spectra (2011, methodology): “As demonstrated in [30] this can be used to give an I-space model GL1 (R) for the units of a symmetric ring spectrum R.”
- Topological Hochschild homology of Thom spectra and the free loop space (2008, methodology): “The following result is an immediate consequence of [37], Proposition 7.”