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- Title
Frobenius and the derived centers of algebraic theories.
- Authors
Dwyer, William; Szymik, Markus
- Abstract
We show that the derived center of the category of simplicial algebras over every algebraic theory is homotopically discrete, with the abelian monoid of components isomorphic to the center of the category of discrete algebras. For example, in the case of commutative algebras in characteristic p, this center is freely generated by Frobenius. Our proof involves the calculation of homotopy coherent centers of categories of simplicial presheaves as well as of Bousfield localizations. Numerous other classes of examples are discussed.
- Publication
Mathematische Zeitschrift, 2017, Vol 285, Issue 3/4, p1181
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-016-1744-4