42 citations · 240 across the 49 of their papers we have counts for
4 papers · 2 filters
Excision, descent, and singularity in algebraic -theory
Guillermo Cortiñas
Algebraic -theory is a homology theory that behaves very well on sufficiently nice objects such as stable -algebras or smooth algebraic varieties, and very badly in singula…
Compact operators and algebraic -theory for groups which act properly and isometrically on Hilbert space
Guillermo Cortiñas, Gisela Tartaglia
We prove the -theoretic Farrell-Jones conjecture for groups as in the title with coefficient rings and -algebras which are stable with respect to compact operators. We use…
Trace class operators, regulators, and assembly maps in K-theory
Guillermo Cortiñas, Gisela Tartaglia
Let G be a group, Fin the family of its finite subgroups, and E(G,Fin) the classifying space. Let L^1 be the algebra of trace-class operators in an infinite dimensional, separable…
Cyclic homology, tight crossed products, and small stabilizations
Guillermo Cortiñas
In \verb|arXiv:1212.5901| we associated an algebra $\Gami(\fA)$ to every bornological algebra $\fA$ and an ideal $I_{S(\fA)}\triqui\Gami(\fA)$ to every symmetric ideal $S\triqui\el…