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In noncommutative geometry, a Fredholm module is a mathematical structure used to quantize the differential calculus. Such a module is, up to trivial changes, the same as the abstract elliptic operator introduced by . ==Definition== If ''A'' is an involutive algebra over the complex numbers C, then a Fredholm module over ''A'' consists of an involutive representation of ''A'' on a Hilbert space ''H'', together with a self-adjoint operator ''F'', of square 1 and such that the commutator :(''a'' ) is a compact operator, for all ''a'' in ''A''. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Fredholm module」の詳細全文を読む スポンサード リンク
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