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5 papers · 1 filter
Schur Multipliers and Spherical Functions on Homogeneous Trees
Uffe Haagerup, Troels Steenstrup, Ryszard Szwarc
Let X be a homogeneous tree of degree q+1 (for q between 2 and infinity) and let f be a complex function on X times X for which f(x,y) only depend on the distance between x and y i…
Boundaries of systolic groups
Damian Osajda, Piotr Przytycki
For all systolic groups we construct boundaries which are EZ--structures. This implies the Novikov conjecture for torsion--free systolic groups. The boundary is constructed via a s…
Connectedness at infinity of systolic complexes and groups
Damian Osajda
By studying connectedness at infinity of systolic groups we distinguish them from some other classes of groups, in particular from the fundamental groups of manifolds covered by eu…
Ideal boundary of 7-systolic complexes and groups
Damian Osajda
We prove that ideal boundary of a 7-systolic group is strongly hereditarily aspherical. For some class of 7-systolic groups we show their boundaries are connected and without local…
Bi-element representations of ternary groups
Andrzej Borowiec, Wieslaw A. Dudek, Steven Duplij
General properties of ternary semigroups and groups are considered. The bi-element representation theory in which every representation matrix corresponds to a pair of elements is b…