{"product_id":"leavitt-path-algebras-and-classical-k-theory-9789811516139","title":"Leavitt Path Algebras and Classical K-Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras. Highlighting their significant connection with classical \u003ci\u003eK\u003c\/i\u003e-theory—which plays an important role in mathematics and its related emerging fields—this book allows readers from diverse mathematical backgrounds to understand and appreciate these structures. The articles on LPAs are mostly of an expository nature and the ones dealing with \u003ci\u003eK\u003c\/i\u003e-theory provide new proofs and are accessible to interested students and beginners of the field.  It is a useful resource for graduate students and researchers working in this field and related areas, such as C*-algebras and symbolic dynamics.\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003e​Chapter 1\u003c\/b\u003e. Morita Equivalent Leavitt Path Algebras.- \u003cb\u003eChapter 2.\u003c\/b\u003e A survey on the ideal structure of Leavitt path algebras.- \u003cb\u003eChapter 3. \u003c\/b\u003eThe injective and projective Leavitt complexes.- \u003cb\u003eChapter 4.\u003c\/b\u003e Graph C*-algebras.- \u003cb\u003eChapter 5\u003c\/b\u003e. Steinberg Algebras.- \u003cb\u003eChapter 6.\u003c\/b\u003e Leavitt path algebras.- \u003cb\u003eChapter 7. \u003c\/b\u003eRelating the principles of Quillen-Suslin theory.- \u003cb\u003eChapter 8.\u003c\/b\u003e Action on Alternating matrices and Compound matrices.- \u003cb\u003eChapter 9.\u003c\/b\u003e On the relative Quillen-Suslin Local Global Principle.- \u003cb\u003eChapter 10.\u003c\/b\u003e On the non-injectivity of the Vaserstein symbol for real threefolds.- \u003cb\u003eChapter 11\u003c\/b\u003e. The quotient Unimodular Vector group is nilpotent.- \u003cb\u003eChapter 12.\u003c\/b\u003e Symplectic linearization of an alternating polynomial matrix.- \u003cb\u003eChapter 13.\u003c\/b\u003e On a theorem of Suslin.- \u003cb\u003eChapter 14.\u003c\/b\u003e On a group structure on unimodular rows of length three over a two dimensional ring.- \u003cb\u003eChapter 15.\u003c\/b\u003e On an algebraic analogue of the Mayer-Vietoris sequence.- \u003cb\u003eChapter 16.\u003c\/b\u003e On the completability of unimodular rows of length three.- \u003cb\u003eChapter 17.\u003c\/b\u003e Sandwich classification for classical-like groups over commutative rings.- \u003cb\u003eChapter 18.\u003c\/b\u003e A Survey on applications of \u003ci\u003eK\u003c\/i\u003e-theory in affine algebraic geometry.- \u003cb\u003eChapter 19.\u003c\/b\u003e On the non-infectivity of the Vaserstein Symbol in dimension three.- \u003cb\u003eChapter 20.\u003c\/b\u003e A survey on affine monoids and \u003ci\u003eK\u003c\/i\u003e-theory.- \u003cb\u003eChapter 21.\u003c\/b\u003e A Survey on the elementary orthogonal groups.","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":52091889221975,"sku":"9789811516139","price":97.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811516139.jpg?v=1762276164","url":"https:\/\/bookcurl.com\/products\/leavitt-path-algebras-and-classical-k-theory-9789811516139","provider":"Book Curl","version":"1.0","type":"link"}