How Long to Read Introduction to the Baum-Connes Conjecture

How Long Does it Take to Read Introduction to the Baum-Connes Conjecture?

It takes the average reader 1 hour and 51 minutes to read Introduction to the Baum-Connes Conjecture by Alain Valette

Assuming a reading speed of 250 words per minute. Learn more

Description

The Baum-Connes conjecture is part of A. Connes' non-commutative geometry programme. It can be viewed as a conjectural generalisation of the Atiyah-Singer index theorem, to the equivariant setting (the ambient manifold is not compact, but some compactness is restored by means of a proper, co-compact action of a group "gamma"). Like the Atiyah-Singer theorem, the Baum-Connes conjecture states that a purely topological object coincides with a purely analytical one. For a given group "gamma", the topological object is the equivariant K-homology of the classifying space for proper actions of "gamma", while the analytical object is the K-theory of the C*-algebra associated with "gamma" in its regular representation. The Baum-Connes conjecture implies several other classical conjectures, ranging from differential topology to pure algebra. It has also strong connections with geometric group theory, as the proof of the conjecture for a given group "gamma" usually depends heavily on geometric properties of "gamma". This book is intended for graduate students and researchers in geometry (commutative or not), group theory, algebraic topology, harmonic analysis, and operator algebras. It presents, for the first time in book form, an introduction to the Baum-Connes conjecture. It starts by defining carefully the objects in both sides of the conjecture, then the assembly map which connects them. Thereafter it illustrates the main tool to attack the conjecture (Kasparov's theory), and it concludes with a rough sketch of V. Lafforgue's proof of the conjecture for co-compact lattices in in Spn1, SL(3R), and SL(3C).

How long is Introduction to the Baum-Connes Conjecture?

Introduction to the Baum-Connes Conjecture by Alain Valette is 111 pages long, and a total of 27,861 words.

This makes it 37% the length of the average book. It also has 34% more words than the average book.

How Long Does it Take to Read Introduction to the Baum-Connes Conjecture Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 32 minutes to read Introduction to the Baum-Connes Conjecture aloud.

What Reading Level is Introduction to the Baum-Connes Conjecture?

Introduction to the Baum-Connes Conjecture is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Introduction to the Baum-Connes Conjecture?

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