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

Abstract:

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