Distances between matrix algebras that converge to coadjoint orbits

Details Distances between matrix algebras that converge to coadjoint orbits Distances between matrix algebras that converge to coadjoint orbits

2009-10-11

arxiv.org/abs/0910.1968v1

Proc. Sympos. Pure Math., 81, 173-180, Amer. Math. Soc., Providence, RI, 2010

Mathematics

Operator Algebras

10 pages

Scientific paper

For any sequence of matrix algebras that converge to a coadjoint orbit we
give explicit formulas that show that the distances between the matrix algebras
(viewed as quantum metric spaces) converges to 0. In the process we develop a
general point of view that is likely to be useful in other related settings.

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