Hasil untuk "math.KT"

Aurélien Djament, Antoine Touzé

We prove separation and excision results in functor homology. These results explain how the global Steinberg decomposition of functors proved by Djament, Touz{é} and Vespa behaves in Ext and Tor computations.

Michael Puschnigg

We calculate the local cyclic homology of group Banach-algebras of discrete groups acting properly, isometrically and cocompactly on a CAT(0)-space.

Raimund Preusser

For any Kumjian-Pask algebra $KP_R(Λ)$ defined over a $k$-graph $Λ$ of a special kind (a "standard $k$-graph"), we obtain an $R$-basis.

Alexander Dranishnikov

We prove the Burghelea Conjecture for groups satisfying some additional cohomological property.

Scott Schmieding

For certain rings $\mathcal{R}$, we construct explicit matrices representing nonzero classes in the algebraic $K$ theory group $NK_{1}(\mathcal{R})$.

Teimuraz Pirashvili

We will explain how elementary concepts of relative homological algebra yield the Taylor tower for functors from pointed categories to abelian groups recovering the constructions of Johnson and McCarthy.

James Gillespie

We discuss some recent developments in the theory of abelian model categories. The emphasis is on the hereditary condition and applications to homotopy categories of chain complexes and stable module categories.

D. Kaledin

We develop the theory of Mackey profunctors, a version of Mackey functors for profinite groups.

Ulrich Haag

The paper gives a short account of the contents of "Regular Algebraic K-Theory For Groups" by the author and its connections with other homology and K-theories.

V. Metaftsis, S. Prassidis

We show that the K-FJCw holds for certain subgroups of Aut($F_n$) constructed from Hol($F_2$).

Andrei Lavrenov

We give two definitions of relative symplectic Steinberg group and show that they coincide.

R. Kurdiani, T. Pirashvili

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.

Paul Siegel

We develop a Mayer-Vietoris sequence for the analytic structure group explored by Higson and Roe. Using explicit formulas for Mayer-Vietoris boundary maps, we give a new proof and generalizations of Roe's partitioned manifold index theorem.

Paul A. Blaga

We provide a direct proof that the Hochschild homology of a $\mathbb{Z}_2$-graded algebra is Morita invariant.

Teimuraz Pirashvili

We propose a new look on triangulated categories, which is based on the second Hochschild cohomology.

G. Donadze, M. Ladra

It is proved that the five well-known identities universally satisfied by commutators in a group generate all universal commutator identities for commutators of weight 4.

Satoshi Mochizuki

The purpose of this article is to prove that Gersten's conjecture for a commutative regular local ring is true. As its applications, we will prove the vanishing conjecture for certain Chow groups, generator conjecture for certain $K$-groups and Bloch's formula for absolute case.

Tamaz Kandelaki

This paper has been withdrawn because it is a duplicate of [math/0609208].

Maarten Solleveld

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

E. Reynaud

In this paper, we prove that the fundamental group of a simplicial complex is isomorphic to the algebraic fundamental group of its incidence algebra, and we derive some applications.