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math.OA2011
Differential algebras with Banach-algebra coefficients II: The operator cross-ratio tau-function and the Schwarzian derivative
Maurice J. Dupré, James F. Glazebrook, Emma Previato
Several features of an analytic (infinite-dimensional) Grassmannian of (commensurable) subspaces of a Hilbert space were developed in the context of integrable PDEs (KP hierarchy).…
math.OA2011
Differential algebras with Banach-algebra coefficients I: From C*-algebras to the K-theory of the spectral curve
Maurice J. Dupré, James F. Glazebrook, Emma Previato
We present an operator-coefficient version of Sato's infinite-dimensional Grassmann manifold, and tau-function. In this context, the Burchnall-Chaundy ring of commuting differentia…