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Asymptotic Cyclic Cohomology

by Michael Puschnigg
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Current price ₹7,200.00
Original price ₹8,640.00
Original price ₹8,640.00
Original price ₹8,640.00
(-17%)
₹7,200.00
Current price ₹7,200.00

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Book cover type: Paperback
  • ISBN13: 9783540619864
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 244
  • Original Price: USD 69.95
  • Language: English
  • Edition: 1996
  • Item Weight: 381 grams
  • BISAC Subject(s): Algebra / Abstract

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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