Stochastic complex \(K\)-theories: Chern character and Bott periodicity (Q1425060)

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scientific article; zbMATH DE number 2057644
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Stochastic complex \(K\)-theories: Chern character and Bott periodicity
scientific article; zbMATH DE number 2057644

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    Stochastic complex \(K\)-theories: Chern character and Bott periodicity (English)
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    15 March 2004
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    The algebraic \(K\)-theory on the Brownian bridge associated to an algebra of functionals belonging to a Sobolev spaces in the sence of Nualart and Pardoux is considered. The notion of the stochastic Chern character associated to a stochastic bundle is introduced. The stochastic Bott periodicity problem is investigated.
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    Bott periodicity
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    Chern character
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    Malliavin calculus
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