Some recent advances in topological Hochschild homology - Mathew - 2022 - Bulletin of the
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Algebraic K-theory encodes important invariants for several mathematical disciplines,
spanning from geometric topology and functional analysis to number theory and algebraic …

We study a Grothendieck topology on schemes which we call the arc-topology. This
topology is a refinement of the v-topology (the pro-version of Voevodsky'sh-topology), where …

To any pullback square of ring spectra we associate a new ring spectrum and use it to
describe the failure of excision in algebraic K-theory. The construction of this new ring …

Algebraic K-theory and descent for blow-ups | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Inventiones …

Given a henselian pair $(R, I) $ of commutative rings, we show that the relative $ K $-theory
and relative topological cyclic homology with finite coefficients are identified via the …

Topological cyclic homology is a manifestation of Waldhausen's vision that the cyclic theory
of Connes and Tsygan should be developed with the initial ring S of higher algebra as base …

We give conditions for the Mayer–Vietoris property to hold for the algebraic K-theory of blow-
up squares of toric varieties and schemes, using the theory of monoid schemes. These …

Excision in algebraic K-theory revisited Page 1 Excision in algebraic K-theory revisited Georg
Tamme Compositio Math. 154 (2018), 1801–1814. doi:10.1112/S0010437X18007236 …

The purpose of this paper is to study pro excision in algebraic K-theory and cyclic homology,
after Suslin–Wodzicki, Cuntz–Quillen, Cortiñas, and Geisser–Hesselholt, as well as …