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Operator Algebra Seminar

Fri., Oct. 6, 2023 2:00 p.m.

Location: RI 330

Speaker: Shane Crerar, University of Regina

Title: Probability of Entanglement: the noncommutative sphere V r(H,K) II


The real-analytic manifold V r(H,K) was constructed previously. We discuss the manifold further as a quotient space Xr = Vr(H,K)/U(r) where U(r) are unitary scalar matrices and construct a probability space  (Xr, P r). Finally, we show that for every r = 1, 2, ..., mn that P r{x ∈ Xr : rank(x) ≠ r} = 0.