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- W97912353 abstract "Given a Banach algebra we construct a principal bundle with connection over the similarity class of projections in the algebra and compute the curvature of the connection. The associated vector bundle and the connection are a universal bundle with attendant connection. When the algebra is the linear operators over a Hilbert module, we establish an analytic diffeomorphism between the similarity class and the space of polarizations of the Hilbert module. Likewise, the geometry of the universal bundle over the latter is studied. Instrumental is an explicit description of the transition maps in each case which leads to the construction of certain functions. These functions are in a sense pre-determinants for the universal bundles in question." @default.
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- W97912353 date "2010-01-01" @default.
- W97912353 modified "2023-10-17" @default.
- W97912353 title "Curvature of Universal Bundles of Banach Algebras" @default.
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- W97912353 doi "https://doi.org/10.1007/978-3-0346-0158-0_10" @default.
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