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math.KT2016★ 2 cited
Cyclic vs mixed homology
Ulrich Kraehmer, Dylan Madden
The spectral theory of the Karoubi operator due to Cuntz and Quillen is extended to general mixed (duchain) complexes, that is, chain complexes which are simultaneously cochain com…
math.KT2012
Batalin-Vilkovisky Structures on Ext and Tor
Niels Kowalzig, Ulrich Kraehmer
This article studies the algebraic structure of homology theories defined by a left Hopf algebroid U over a possibly noncommutative base algebra A, such as for example Hochschild,…
math.KT2010
Cyclic structures in algebraic (co)homology theories
Niels Kowalzig, Ulrich Kraehmer
This note discusses the cyclic cohomology of a left Hopf algebroid (-Hopf algebra) with coefficients in a right module-left comodule, defined using a straightforward gene…