16 citations · 54 across the 12 of their papers we have counts for
13 papers
Fixed points and limits of convolution powers of contractive quantum measures
Matthias Neufang, Pekka Salmi, Adam Skalski +1
We study fixed points of contractive convolution operators associated to contractive quantum measures on locally compact quantum groups. We characterise the existence of non-zero f…
Admissibility Conjecture and Kazhdan's Property (T) for quantum groups
Biswarup Das, Matthew Daws, Pekka Salmi
We give a partial solution to a long-standing open problem in the theory of quantum groups, namely we prove that all finite-dimensional representations of a wide class of locally c…
Idempotent states on locally compact quantum groups II
Pekka Salmi, Adam Skalski
Correspondence between idempotent states and expected right-invariant subalgebras is extended to non-coamenable, non-unimodular locally compact quantum groups; in particular left c…
Actions of locally compact (quantum) groups on ternary rings of operators, their crossed products and generalized Poisson boundaries
Pekka Salmi, Adam Skalski
Actions of locally compact groups and quantum groups on W*-ternary rings of operators are discussed and related crossed products introduced. The results generalise those for von Ne…
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…
Quasi-actions and rough Cayley graphs for locally compact groups
Pekka Salmi
We define the notion of rough Cayley graph for compactly generated locally compact groups in terms of quasi-actions. We construct such a graph for any compactly generated locally c…
Subgroups and strictly closed invariant C*-subalgebras
Pekka Salmi
We characterise the strictly closed left invariant C*-subalgebras of the C*-algebra C_b(G) of bounded continuous functions on a locally compact group G. On the dual side, we charac…
Idempotent states on locally compact quantum groups
Pekka Salmi, Adam Skalski
Idempotent states on a unimodular coamenable locally compact quantum group A are shown to be in one-to-one correspondence with right invariant expected C*-subalgebras of A. Haar id…
Compact quantum subgroups and left invariant C*-subalgebras of locally compact quantum groups
Pekka Salmi
We show that there is a one-to-one correspondence between compact quantum subgroups of a co-amenable locally compact quantum group and certain left invariant C*-subalg…