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#### The Local Structure of Algebraic K-Theory

Springer London 2012; US$ 129.00This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves the difference between the theories are locally constant. It contains a proof of the integral Goodwillie ICM 1990 conjecture. more...

#### Lower K- and L-theory

Cambridge University Press 1992; US$ 44.00This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. more...

#### Hochschild Cohomology of Von Neumann Algebras

Cambridge University Press 1995; US$ 56.00This book gives an introduction to biotransformations, the practice of harnessing biological catalysts for the preparation of useful chemicals. more...

#### An Introduction to K-Theory for C*-Algebras

Cambridge University Press 2000; US$ 44.00This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students. more...

#### An Algebraic Introduction to K-Theory

Cambridge University Press 2002; US$ 95.00An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra. more...

#### Sheaf Theory

Cambridge University Press 1975; US$ 64.00Sheaf theory provides a means of discussing many different kinds of geometric objects in respect of the connection between their local and global properties. more...

#### The Geometry of Spherical Space Form Groups

World Scientific Publishing Company 1989; US$ 129.00In this volume, the geometry of spherical space form groups is studied using the eta invariant. The author reviews the analytical properties of the eta invariant of Atiyah-Patodi-Singer and describes how the eta invariant gives rise to torsion invariants in both K-theory and equivariant bordism. The eta invariant is used to compute the K-theory of... more...

#### Intersection Cohomology

Springer 2009; US$ 49.99This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory... more...

#### Hypoelliptic Laplacian and Bott?Chern Cohomology

Springer International Publishing 2013; US$ 109.00This book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann?Roch?Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott?Chern cohomology. more...

#### Representation Theory and Higher Algebraic K-Theory

CRC Press 2006; US$ 132.95Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations. Thus, this book makes computations of higher K-theory of group... more...