By Wolfgang Lück

ISBN-10: 3540435662

ISBN-13: 9783540435662

In algebraic topology a few classical invariants - equivalent to Betti numbers and Reidemeister torsion - are outlined for compact areas and finite staff activities. they are often generalized utilizing von Neumann algebras and their strains, and utilized additionally to non-compact areas and countless teams. those new L2-invariants comprise very fascinating and novel details and will be utilized to difficulties bobbing up in topology, K-Theory, differential geometry, non-commutative geometry and spectral conception. it truly is fairly those interactions with diversified fields, that make L2-invariants very robust and interesting. The booklet provides a accomplished advent to this region of analysis, in addition to its latest effects and advancements. it's written in a fashion which allows the reader to pick his favorite subject and to discover the outcome he or she is attracted to quick and with no being compelled to head via different fabric.