33 citations · 137 across the 39 of their papers we have counts for
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Higher Semiadditive Algebraic K-Theory and Redshift
Shay Ben-Moshe, Tomer M. Schlank
We define higher semiadditive algebraic K-theory, a variant of algebraic K-theory that takes into account higher semiadditive structure, as enjoyed for example by the - and $…
Evaluation maps and transfers for free loop spaces II
Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton
In our previous paper, we constructed and studied a functorial extension of the evaluation map to transfers along finite covers. In this paper, we s…
Evaluation maps and transfers for free loop spaces I
Sune Precht Reeh, Tomer M. Schlank, Nathaniel Stapleton
We construct and study a functorial extension of the evaluation map to transfers along finite covers. For finite covers of classifying spaces of fi…
Chromatic Cyclotomic Extensions
Shachar Carmeli, Tomer M. Schlank, Lior Yanovski
We construct Galois extensions of the T(n)-local sphere, lifting all finite abelian Galois extensions of the K(n)-local sphere. This is achieved by realizing them as higher semiadd…
Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra
Gregory Arone, Ilan Barnea, Tomer M. Schlank
In a companion paper [ABS1] we introduced the stable -category of noncommutative CW-spectra, which we denoted . Let denote the full spectrally e…
Noncommutative CW-spectra as enriched presheaves on matrix algebras
Gregory Arone, Ilan Barnea, Tomer M. Schlank
Motivated by the philosophy that -algebras reflect noncommutative topology, we investigate the stable homotopy theory of the (opposite) category of -algebras. We focus on…