40 citations · 94 across the 18 of their papers we have counts for
20 papers
The image of Bott periodicity in cyclic homology
Joachim Cuntz
We analyze the relationship between Bott periodicity in topological -theory and the natural periodicity of cyclic homology. This is a basis for understanding the multiplicativit…
Weak completions, bornologies and rigid cohomology
Guillermo Cortiñas, Joachim Cuntz, Ralf Meyer +1
Let be a complete discrete valuation ring with residue field of positive characteristic and with fraction field of characteristic 0. We clarify the analysis behind the…
Nonarchimedean bornologies, cyclic homology and rigid cohomology
Guillermo Cortiñas, Joachim Cuntz, Ralf Meyer +1
Let be a complete discrete valuation ring with residue field and with fraction field of characteristic 0. We clarify the analysis behind the Monsky--Washnitzer completi…
Semigroup C*-algebras and toric varieties
Joachim Cuntz
Let S be a finitely generated subsemigroup of Z^2. We derive a general formula for the K-theory of the left regular C*-algebra for S.
C*-algebras associated with algebraic actions
Joachim Cuntz
This is a survey of work in which the author was involved in recent years. We consider C*-algebras constructed from representations of one or several algebraic endomorphisms of a c…
Witt Vector Rings and the Relative de Rham Witt Complex
Joachim Cuntz, Christopher Deninger
In this paper we develop a novel approach to Witt vector rings and to the (relative) de Rham Witt complex. We do this in the generality of arbitrary commutative algebras and arbitr…