Asymptotic Cyclic Cohomology (Lecture Notes in Mathematics, 1642) 1996th Edition by Michael Puschnigg (PDF)

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    Ebook Info

    • Published: 1996
    • Number of pages: 268 pages
    • Format: PDF
    • File Size: 7.23 MB
    • Authors: Michael Puschnigg

    Description

    The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. A cyclic cohomology theory for operator algebras is developed in the book, based on Connes’ work on noncommutative geometry. Asymptotic cyclic cohomology faithfully reflects the basic properties and features of operator K-theory. It thus becomes a natural target for a Chern character. The central result of the book is a general Grothendieck-Riemann-Roch theorem in noncommutative geometry with values in asymptotic cyclic homology. Besides this, the book contains numerous examples and calculations of asymptotic cyclic cohomology groups.

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    Free Download Asymptotic Cyclic Cohomology (Lecture Notes in Mathematics, 1642) 1996th Edition in PDF format
    Asymptotic Cyclic Cohomology (Lecture Notes in Mathematics, 1642) 1996th Edition PDF Free Download
    Download Asymptotic Cyclic Cohomology (Lecture Notes in Mathematics, 1642) 1996th Edition 1996 PDF Free
    Asymptotic Cyclic Cohomology (Lecture Notes in Mathematics, 1642) 1996th Edition 1996 PDF Free Download
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