Optimal transport and unitary orbits in C*-algebras

Bhishan Jacelon

*(University of Toronto)*

10:00-11:00, April 1, 2019 Science Building A510

__Abstract:__

I will explain how results from the Elliott classification programme can be used to translate continuous transport of spectral measures into optimal unitary conjugation in C*-algebras. In particular, whenever two normal elements of a sufficiently well-behaved C*-algebra share a spectrum amenable to such continuous transport, and have trivial K_1-class, the distance between their unitary orbits can be computed tracially.

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