Shachar Carmeli

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20242026

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math.KT2025

On the K-theory of algebraic tori

Qingyuan Bai, Shachar Carmeli, Branko Juran +1

Given an algebraic torus $T$ over a field $F$ , its lattice of characters $I^$ gives rise to a topological torus $T (T) = I^_{R} / I^$ with a continuous action of the…

math.KT2024

Descent and cyclotomic redshift for chromatically localized algebraic K-theory

Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank +1

We prove that $T (n + 1)$ -localized algebraic $K$ -theory satisfies descent for $I ¨ $ -finite $p$ -group actions on stable $\infty$ -categories of chromatic height up to $n$ , extending a r…

math.KT2024

The spectrum of units of algebraic $K$ -theory

Shachar Carmeli, Kiran Luecke

It is well known that the $[0, 1]$ and $[0, 2]$ Postnikov truncations of the units of the topological $K$ -theories $\glone \KO$ and $\glone \KU$, respectively, are split, and that th…

On the K-theory of algebraic tori

Descent and cyclotomic redshift for chromatically localized algebraic K-theory

The spectrum of units of algebraic K-theory

The spectrum of units of algebraic $K$ -theory