16 citations · 54 across the 12 of their papers we have counts for
5 papers · 1 filter
Completely positive definite functions and Bochner's theorem for locally compact quantum groups
Matthew Daws, Pekka Salmi
We prove two versions of Bochner's theorem for locally compact quantum groups. First, every completely positive definite "function" on a locally compact quantum group $\G$ arises a…
Idempotent states on locally compact groups and quantum groups
Pekka Salmi
This is a short survey on idempotent states on locally compact groups and locally compact quantum groups. The central topic is the relationship between idempotent states, subgroups…
Contractive idempotents on locally compact quantum groups
Matthias Neufang, Pekka Salmi, Adam Skalski +1
A general form of contractive idempotent functionals on coamenable locally compact quantum groups is obtained, generalising the result of Greenleaf on contractive measures on local…
Inclusions of ternary rings of operators and conditional expectations
Pekka Salmi, Adam Skalski
It is shown that if T is a ternary ring of operators (TRO), X is a nondegenerate sub-TRO of T and there exists a contractive idempotent surjective map P:T-->X, then P has a unique,…
Uniformly equicontinuous sets, right multiplier topology, and continuity of convolution
Matthias Neufang, Jan Pachl, Pekka Salmi
The dual space of the C*-algebra of bounded uniformly continuous functions on a uniform space carries several natural topologies. One of these is the topology of uniform convergenc…