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Full-Text Articles in Physical Sciences and Mathematics
Coordinate Systems And Bounded Isomorphisms, David R. Pitts, David R. Pitts
Coordinate Systems And Bounded Isomorphisms, David R. Pitts, David R. Pitts
Department of Mathematics: Faculty Publications
For a Banach D-bimoduleMover an abelian unital C*-algebraD, we define E1(M) as the collection of norm-one eigenvectors for the dual action of D on the Banach space dual M#. Equip E1(M) with the weak*-topology. We develop general properties of E1(M). It is properly viewed as a coordinate system for M when M C, where C is a unital C*-algebra containing D as a regular MASA with the extension property; moreover, E1(C) coincides with Kumjian’s twist in the context of C*-diagonals. We identify the C*-envelope of a subalgebra A of a C*-diagonal when D A C. For triangular subalgebras, each containing …