17 citations · 94 across the 23 of their papers we have counts for
6 papers · 1 filter
Cohomological induction and uniform measure equivalence
Thomas Gotfredsen, David Kyed
We construct a general cohomological induction isomorphism from a uniform measure equivalence of locally compact, second countable, unimodular groups which, as a special case, yiel…
Measure equivalence for non-unimodular groups
Juhani Koivisto, David Kyed, Sven Raum
We undertake a comprehensive study of measure equivalence between general locally compact, second countable groups, providing operator algebraic and ergodic theoretic reformulation…
Measure equivalence and coarse equivalence for unimodular locally compact groups
Juhani Koivisto, David Kyed, Sven Raum
This article is concerned with measure equivalence and uniform measure equivalence of locally compact, second countable groups. We show that two unimodular, locally compact, second…
Topologizing Lie algebra cohomology
David Kyed
We show that the theory of Lie algebra cohomology can be recast in a topological setting and that classical results, such as the Shapiro lemma and the van Est isomorphism, carry ov…
Polynomial Cohomology and Polynomial Maps on Nilpotent Groups
David Kyed, Henrik Densing Petersen
We introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficie…
A groupoid approach to Lück's amenability conjecture
David Kyed, Henrik Densing Petersen
We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring inclusions naturally associated with measure preserving actions of the group. This…