36 citations · 58 across the 8 of their papers we have counts for
12 papers
Weak amenability of Lie groups made discrete
Søren Knudby
We completely characterize connected Lie groups all of whose countable subgroups are weakly amenable. We also provide a characterization of connected semisimple Lie groups that are…
Groups whose Fourier algebra and Rajchman algebra coincide
Søren Knudby
We study locally compact groups for which the Fourier algebra coincides with the Rajchman algebra. In particular, we show that there exist uncountably many non-compact groups with…
On connected Lie groups and the Approximation Property
Søren Knudby
Recently, a complete characterization of connected Lie groups with the Approximation Property was given. The proof used of the newly introduced property (T*). We present here a sho…
A Schur multiplier characterization of coarse embeddability
Søren Knudby, Kang Li
We give a contractive Schur multiplier characterization of locally compact groups coarsely embeddable into Hilbert spaces. Consequently, all locally compact groups whose weak Haage…
Weak amenability and simply connected Lie groups
Søren Knudby
Following an approach of Ozawa, we show that several semidirect products are not weakly amenable. As a consequence, we are able to characterize the simply connected Lie groups that…
A complete characterization of connected Lie groups with the Approximation Property
Uffe Haagerup, Søren Knudby, Tim de Laat
We give a complete characterization of connected Lie groups with the Approximation Property for groups (AP). To this end, we introduce a strengthening of property (T), that we call…