Abstract
In this note, we consider the set P of all selfadjoint idempotents of a given unital C*-algebra A as a (real) analytic manifold, and we study some of its geometrical properties. The submanifold P of A will be called the Grassmann manifold of A, due to its obvious identification with the classical Grassmann manifold, when A is the algebra of all (bounded) operators L(K) on a Hilbert space K (see [9], [8], and [15]).
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© 1988 Birkhäuser Verlag Basel
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Salinas, N. (1988). The Grassmann Manifold of a C*-Algebra, and Hermitian Holomorphic Bundles. In: Arsene, G. (eds) Special Classes of Linear Operators and Other Topics. Operator Theory: Advances and Applications, vol 28. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9164-6_19
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DOI: https://doi.org/10.1007/978-3-0348-9164-6_19
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