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4 papers · 1 filter
Parseval frames for ICC groups
Dorin Ervin Dutkay, Deguang Han, Gabriel Picioroaga
We analyze Parseval frames generated by the action of an ICC group on a Hilbert space. We parametrize the set of all such Parseval frames by operators in the commutant of the corre…
Automata generating free products of groups of order 2
Dmytro Savchuk, Yaroslav Vorobets
We construct a family of automata with n states, n>3, acting on a rooted binary tree that generate the free products of cyclic groups of order 2.
Associativity of the Commutator Operation in Groups
Fernando Guzman
The study of associativity of the commutator operation in groups goes back to some work of Levi in 1942. In the 1960's Richard J. Thompson created a group F whose elements are repr…
Representation Theory of the Algebra Generated By a Pair of Complex Structures
Steven Gindi
The objective of this paper is to determine the finite dimensional, indecomposable representations of the algebra that is generated by two complex structures over the real numbers.…