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Introduction to the Baum-Connes Conjecture
Alain Valette
€ 63.27
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Description for Introduction to the Baum-Connes Conjecture
Paperback. The Baum-Connes conjecture is part of A Connes' non-commutative geometry programme. This book presents an introduction to the Baum-Connes conjecture. It starts by defining the objects in both sides of the conjecture, then the assembly map which connects them. It illustrates the main tool to attack the conjecture (Kasparov's theory). Series: Lectures in Mathematics. ETH Zurich. Num Pages: 104 pages, biography. BIC Classification: PBF; PBM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 6. Weight in Grams: 205.
A quick description of the conjecture The Baum-Connes conjecture is part of Alain Connes'tantalizing "noncommuta- tive geometry" programme [18]. It is in some sense the most "commutative" part of this programme, since it bridges with classical geometry and topology. Let r be a countable group. The Baum-Connes conjecture identifies two objects associated with r, one analytical and one geometrical/topological. The right-hand side of the conjecture, or analytical side, involves the K- theory of the reduced C*-algebra c;r, which is the C*-algebra generated by r in 2 its left regular representation on the Hilbert space C(r). The K-theory used here, Ki(C;r) ... Read more
A quick description of the conjecture The Baum-Connes conjecture is part of Alain Connes'tantalizing "noncommuta- tive geometry" programme [18]. It is in some sense the most "commutative" part of this programme, since it bridges with classical geometry and topology. Let r be a countable group. The Baum-Connes conjecture identifies two objects associated with r, one analytical and one geometrical/topological. The right-hand side of the conjecture, or analytical side, involves the K- theory of the reduced C*-algebra c;r, which is the C*-algebra generated by r in 2 its left regular representation on the Hilbert space C(r). The K-theory used here, Ki(C;r) ... Read more
Product Details
Format
Paperback
Publication date
2002
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
104
Condition
New
Series
Lectures in Mathematics. ETH Zurich
Number of Pages
104
Place of Publication
Basel, Switzerland
ISBN
9783764367060
SKU
V9783764367060
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Introduction to the Baum-Connes Conjecture
"Overall, the book is a very valuable addition to the literature on the Baum-Connes conjecture. It is highly recommended reading for anyone interested in learning more about the conjecture, or who does research in areas related to it. Of course, the reader who wants to be an expert will eventually have to consult the original literature, but such is inevitable ... Read more