Homology pro stability for Tor-unital pro rings
نویسندگان
چکیده
منابع مشابه
Cyclic Homology of H-unital (pro-)algebras, Lie Algebra Homology of Matrices and a Paper of Hanlon’s
We consider algebras over a field k of characteristic zero. The article is concerned with the isomorphism of graded vectorspaces H(gl(A)) ∼ → ∧(HC(A)[−1]) between the Lie algebra homology of matrices and the free graded commutative algebra on the cyclic homology of the k-algebra A, shifted down one degree. For unital algebras this isomorphism is a classical result obtained by Loday and Quillen ...
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In this paper we prove that cyclic homology, topological cyclic homology, and algebraic K-theory satisfy a pro Mayer–Vietoris property with respect to abstract blow-up squares of varieties, in both zero and finite characteristic. This may be interpreted as the well-definedness of K-theory with compact support.
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We prove that the homology of unitary groups over rings of S-integers in number fields stabilizes. Results of this kind are well known to follow from the high acyclicity of ad-hoc polyhedra. Given this, we exhibit two simple conditions on the arithmetic of hermitian forms over a ring A relatively to an antiautomorphism which, if they are satisfied, imply the stabilization of the homology of the...
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We discuss the existence and the asymptotic stability of shock prooles associated to nite diierence schemes. Assuming that the shock is stationnary, we look for steady solutions of the scheme. There are strong resemblances with traveling waves obtained by means of a parabolic approximation (the so-called viscous prooles). However, main diierences occur when the shock is under-compressive, these...
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In the preceding paper, Calegari and Dunfield exhibit a sequence of hyperbolic 3-manifolds which have increasing injectivity radius, and which, subject to some conjectures in number theory, are rational homology spheres. We prove unconditionally that these manifolds are rational homology spheres, and give a sufficient condition for a tower of hyperbolic 3-manifolds to have first Betti number 0 ...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2020
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2020.v22.n1.a20