The authors construct a homogeneous non-commutative Kähler structure on the Poincaré disk of a C*-algebra, derive the associated symplectic form and moment map, and prove convexity of the moment map image when a trace is present.
L., On operator balls and linear-fraction al transformations with operator coefficients, Math
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A non commutative K\"ahler structure on the Poincar\'e disk of a C*-algebra
The authors construct a homogeneous non-commutative Kähler structure on the Poincaré disk of a C*-algebra, derive the associated symplectic form and moment map, and prove convexity of the moment map image when a trace is present.