AbstractWe give a functorial description of the topological cyclic homology of a ring A in terms of the relative algebraic K-theory of the truncated polynomial rings An=A[x]/xn. This description involves the projection and transfer maps relating the relative K-theory spectra K˜(An) when n varies. From this point of view the cyclotomic trace corresponds to multiplication by the units 1+x+⋯+xn-1 in K˜1(Z[x]/xn)
In this talk I will revisit the computation, originally due to Hesselholt and Madsen, of the K-theor...
International audienceIt has been shown by Nistor that given any extension of associative algebras o...
To any pullback square of ring spectra we associate a new ring spectrum and use it to describe the f...
AbstractWe give a functorial description of the topological cyclic homology of a ring A in terms of ...
Algebraic $K$-theory -- the analog of topological $K$-theory for varieties and schemes -- is a deep ...
We prove that the Farrell–Jones assembly map for connective algebraic K -theory is rationally injec...
AbstractTopological cyclic homology serves as an approximation to algebraic K-theory. It is more acc...
Abstract In this paper certain ltrations of topological Hochschild homology and topological cyclic h...
Abstract. We analyze the equivariant restriction (or transfer) maps in topological Hochschild homolo...
The topological Hochschild homology $THH(R)$ constitutes a powerful and well-studied invariant of an...
Topological cyclic homology is a refinement of Connes--Tsygan's cyclic homology which was introduced...
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables,...
Abstract. Recent discoveries make it possible to compute the K-theory of certain rings from their cy...
Recent discoveries make it possible to compute the K-theory of certain rings from their cyclic homol...
These lecture notes contain an exposition of basic ideas of K-theory and cyclic cohomology. I begin ...
In this talk I will revisit the computation, originally due to Hesselholt and Madsen, of the K-theor...
International audienceIt has been shown by Nistor that given any extension of associative algebras o...
To any pullback square of ring spectra we associate a new ring spectrum and use it to describe the f...
AbstractWe give a functorial description of the topological cyclic homology of a ring A in terms of ...
Algebraic $K$-theory -- the analog of topological $K$-theory for varieties and schemes -- is a deep ...
We prove that the Farrell–Jones assembly map for connective algebraic K -theory is rationally injec...
AbstractTopological cyclic homology serves as an approximation to algebraic K-theory. It is more acc...
Abstract In this paper certain ltrations of topological Hochschild homology and topological cyclic h...
Abstract. We analyze the equivariant restriction (or transfer) maps in topological Hochschild homolo...
The topological Hochschild homology $THH(R)$ constitutes a powerful and well-studied invariant of an...
Topological cyclic homology is a refinement of Connes--Tsygan's cyclic homology which was introduced...
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables,...
Abstract. Recent discoveries make it possible to compute the K-theory of certain rings from their cy...
Recent discoveries make it possible to compute the K-theory of certain rings from their cyclic homol...
These lecture notes contain an exposition of basic ideas of K-theory and cyclic cohomology. I begin ...
In this talk I will revisit the computation, originally due to Hesselholt and Madsen, of the K-theor...
International audienceIt has been shown by Nistor that given any extension of associative algebras o...
To any pullback square of ring spectra we associate a new ring spectrum and use it to describe the f...
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