{"product_id":"asymptotic-cyclic-cohomology-9783540619864","title":"Asymptotic Cyclic Cohomology","description":"\u003cp\u003e • Author(s): Michael Puschnigg\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Algebra - Abstract\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":46893045088407,"sku":"9783540619864","price":7200.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540619864.webp?v=1770313358","url":"https:\/\/atlanticbooks.com\/products\/asymptotic-cyclic-cohomology-9783540619864","provider":"Atlantic Books","version":"1.0","type":"link"}