Cyclomorphy

Details Cyclomorphy Cyclomorphy

2001-05-11

arxiv.org/abs/math/0105096v1

Mathematics

Operator Algebras

34 pages

Scientific paper

A main result is that, roughly, a dense set of the infinitesimal trace-preserving deformations of a semicircular system $s_1,..., s_n$ arise from one-parameter groups of automorphisms of the free-group factor $L(F(n))$ generated by $s_1,..., s_n$. More generally the paper studies cyclic gradients in von Neumann algebras, Lie algebras of noncommutative trace-preserving vector fields and the class of cyclomorphic maps which preserve the orthogonals of spaces of cyclic gradients.

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