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Cyclic homology of Brzezinski’s crossed products and of braided Hopf crossed products
(Elsevier, 2012-06)
Let k be a field, A a unitary associative k-algebra and V a k-vector space endowed with a distinguished element 1V . We obtain a mixed complex, simpler than the canonical one, that gives the Hochschild, cyclic, negative ...
The obstruction to excision in K-theory and in cyclic homology
(Springer, 2006-12)
Let f: A → B be a ring homomorphism of not necessarily unital rings and I A an ideal which is mapped by f isomorphically to an ideal of B. The obstruction to excision in K-theory is the failure of the map between relative ...
Hochschild and cyclic homology of Yang–Mills algebras
(De Gruyter, 2012-04)
The aim of this article is to present a detailed algebraic computation of the Hochschild and cyclic homology groups of the Yang–Mills algebras YM(n) (n ∈ ℕ≧2) defined by A. Connes and M. Dubois-Violette in [8], continuing ...
Cyclic homology of monogenic extensions in the noncommutative setting
(Academic Press Inc Elsevier Science, 2009-01-15)
We study the Hochschild and cyclic homology of noncommutative monogenic extensions. As an application we compute the Hochschild and cyclic homology of the rank 1 Hopf algebras introduced in [L. Krop, D. Radford, Finite ...
Cyclic homology of Hopf crossed products
(Elsevier, 2009-09-30)
We obtain a mixed complex, simpler than the canonical one, given the Hochschild, cyclic, negative and periodic homology of a crossed product E = A#f H, where H is an arbitrary Hopf algebra and f is a convolution invertible ...
Cyclic homology of cleft extensions of algebras
(World Scientific, 2018-05)
Let k be a commutative algebra with Q ⊆ k and let (E,p,i) be a cleft extension of A. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of E relative to ker(p). This ...
Nonarchimedean bornologies, cyclic homology and rigid cohomology
(Universität Bielefeld, 2018-06)
Let V be a complete discrete valuation ring with residue field k and with fraction field K of characteristic 0. We clarify the analysis behind the Monsky–Washnitzer completion of a commutative V -algebra using spectral ...
Cyclic homology, tight crossed products, and small stabilizations
(European Mathematical Society, 2014-12)
In [1] we associated an algebra 1.A/ to every bornological algebra A and an ideal IS.A/ C 1.A/ to every symmetric ideal S C `1. We showed that IS.A/ has K-theoretical properties which are similar to those of the usual ...
The K-theory of toric varieties in positive characteristic
(London Math Soc, 2014-03)
We show that if X is a toric scheme over a regular ring containing a field of finite characteristic, then the direct limit of the K-groups of X taken over any infinite sequence of non-trivial dilations is homotopy invariant. ...
K-theory of cones of smooth varieties
(Univ Press Inc, 2013-02)
Let R be the homogeneous coordinate ring of a smooth projective variety X over a field k of characteristic 0. We calculate the K-theory of R in terms of the geometry of the projective embedding of X. In particular, if X ...