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Wednesday, 4 November 2026: 2 new papers, 0 cross-lists and 1 replacement in K-Theory and Homology (math.KT), in arXiv's order, with full abstracts. The same papers as arXiv's own listing, set as a newspaper; every title links to arXiv.
We establish homotopy invariance for connective continuous K-theory of affinoid Tate adic spaces of good reduction with respect to the algebraic affine line, distinct from the adic affine line as analytic stacks. We approach this through an investigation of boundedness of t-structures on nuclear module categories, to which end we also study ultrasolid modules, a variant of solid modules, and their properties.
In this paper we classify the algebraic K-theory of sets equipped with an action by a finite abelian monoid. The main tool developed for this purpose is an Orbit-Stabilizer Theorem, which gives a decomposition of monoid sets analogous to the decomposition given by the Orbit-Stabilizer Theorem for G-sets.