6 citations · 9 across the 5 of their papers we have counts for
7 papers
Markovianity and the Thompson Group
Claus Köstler, Arundhathi Krishnan
We show that representations of the Thompson group in the automorphisms of a noncommutative probability space yield a large class of bilateral stationary noncommutative Markov…
Markovianity and the Thompson Monoid
Claus Köstler, Arundhathi Krishnan, Stephen J. Wills
We introduce a new distributional invariance principle, called `partial spreadability', which emerges from the representation theory of the Thompson monoid in noncommutative…
A central limit theorem for star-generators of , which relates to the law of a GUE matrix
Claus Koestler, Alexandru Nica
It is well-known that, on a purely algebraic level, a simplified algebraic version of the Central Limit Theorem (CLT) can be proved in the framework of a noncommutative probability…
Semi-Cosimplicial Objects and Spreadability
D. Gwion Evans, Rolf Gohm, Claus Köstler
To a semi-cosimplicial object (SCO) in a category we associate a system of partial shifts on the inductive limit. We show how to produce an SCO from an action of the infinite braid…
Quantum symmetric states on free product C*-algebras
Kenneth J. Dykema, Claus Köstler, John D. Williams
We introduce symmetric states and quantum symmetric states on universal unital free product C*-algebras an arbitrary unital C*-algebra A with itself infinitely many times, as a gen…
Tail algebras of quantum exchangeable random variables
Kenneth J. Dykema, Claus Köstler
We show that any countably generated von Neumann algebra with specified normal faithful state can arise as the tail algebra of a quantum exchangeable sequence of noncommutative ran…