Results 1 to 10 of about 2,692,610 (25)
Gabber rigidity in hermitian K-theory [PDF]
Proceedings of the Royal Society of Edinburgh: Section A
Mathematics 154 (2024) 1842-1847, 2022 We note that Gabber's rigidity theorem for the algebraic K-theory of henselian pairs also holds true for hermitian K-theory with respect to arbitrary form parameters.
arxiv +1 more source
Twisted Hochschild homology and MacLane homology [PDF]
Algebr. Geom. Topol. 7 (2007) 1071-1079, 2007 We prove vanishing results for Hochschild and MacLane homologies.
arxiv +1 more source
K-Theory Past and Present [PDF]
arXiv, 2000 A brief account of K-theory written in honour of Friedrich ...
arxiv
Homological Descent for Motivic Homology Theories [PDF]
arXiv, 2014 We show that motivic homology, motivic Borel-Moore homology and higher Chow groups satisfy homological descent for hyperenvelopes, and l-hyperenvelopes after inverting l.
arxiv
A definition of graph homology and graph K-theory of algebras [PDF]
arXiv, 1999 We introduce and study elementary properties of graph homology of algebras. This new homology theory shares many features of cyclic and Hochschild homology. We also define a graph K-theory together with an analog of Chern character.
arxiv
Algebraic dependence and Milnor K-theory [PDF]
arXiv, 2022 This paper shows that algebraic (in)dependence is encoded in Milnor K-theory of fields. As an application, we show that the isomorphism type of a field is determined by its Milnor K-theory, up to purely inseparable extensions, in most situations.
arxiv
Detecting K-theory by cyclic homology [PDF]
arXiv, 2005 We discuss which part of the rationalized algebraic K-theory of a group ring is detected via trace maps to Hochschild homology, cyclic homology, periodic cyclic or negative cyclic homology.
arxiv
André-Quillen homology via functor homology [PDF]
arXiv, 2001 We obtain Andr\'e-Quillen homology for commutative algebras using relative homological algebra in the category of functors on finite pointed ...
arxiv
Hochschild and Cyclic Homology of Quantum Kummer Spaces [PDF]
arXiv, 2020 We study the quotient space obtained by the flip action on the quantum n-tori. The Hochschild, cyclic and periodic cyclic homology are calculated.
arxiv
Functor homology and homology of commutative monoids [PDF]
arXiv, 2014 The aim of this work is to clarify the relationship between homology theory of commutative monoids constructed 'a la Quillen and technology of Gamma-modules.
arxiv