Results 11 to 20 of about 2,692,610 (25)

Excision in Hopf cyclic homology [PDF]

arXiv, 2005
In this paper we show that both variants of the Hopf cyclic homology has excision under some natural homological conditions on the objects and the coefficient module.
arxiv  

A Variant of K-theory: K_{+-} [PDF]

arXiv, 2003
We describe a variant of K-theory for spaces with involution, built from vector bundles which are sent to their negative under the involution.
arxiv  

Positivity in T-Equivariant K-theory of flag varieties associated to Kac-Moody groups [PDF]

arXiv, 2012
We prove a positivity result for the T-equivariant K-theory of flag varieties associated to any symmetrizable Kac-Moody group.
arxiv  

Fibration theorem for Waldhausen K-theory [PDF]

arXiv, 2014
The goal of this note is to give a variant of the generic fibration theorem for Waldhausen K-theory without assuming the factorization axiom.
arxiv  

Galois descent of additive invariants [PDF]

arXiv, 2013
Making use of the recent theory of noncommutative motives, we prove that every additive invariant satisfies Galois descent. Examples include mixed complexes, Hochschild homology, cyclic homology, periodic cyclic homology, negative cyclic homology, connective algebraic K-theory, mod-l algebraic K-theory, nonconnective algebraic K-theory, homotopy K ...
arxiv  

Adams operations in smooth K-theory [PDF]

arXiv, 2009
We show that the Adams operations in complex K-theory lift to operations in smooth K-theory. The main result is a Riemann-Roch type theorem about the compatibility of the Adams operations and the integration in smooth K-theory.
arxiv  

Algebraic K-theory of finitely projective modules on $\mathbb{E}_{\infty}$-rings [PDF]

arXiv, 2016
In this paper, we study the K-theory on higher modules in spectral algebraic geometry. We relate the K-theory of an $\infty$-category of finitely generated projective modules on certain $\mathbb{E}_{\infty}$-rings with the K-theory of an ordinary category of finitely generated projective modules on ordinary rings.
arxiv  

Periodic cyclic homology of Hecke algebras and their Schwartz completions [PDF]

arXiv, 2006
We show that the inclusion of an affine Hecke algebra in its Schwartz completion induces an isomorphism on periodic cyclic homology.
arxiv  

On the Gauss-Manin connection in cyclic homology [PDF]

arXiv, 2007
We define Getzler's Gauss-Manin connection in cyclic homology at the level of chains and outline some relations of this construction to noncommutative calculus.
arxiv  

Computability of the (co)homology of cyclic monoids [PDF]

arXiv, 2016
Leech's (co)homology groups of finite cyclic monoids are computed.
arxiv