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

Springer 2012; US$ 129.00Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation... 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...

#### 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...

#### 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 2013; US$ 109.00The 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, which is a refinement for complex manifolds of de Rham cohomology. When the manifolds are Kähler, our main... more...

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

CRC Press 2006; US$ 132.95Introduction REVIEW OF CLASSICAL ALGEBRAIC K-THEORY AND REPRESENTAION THEORY Notes on Notations Category of Representations and Constructions of Grothendieck Groups and Rings Category of representations and G-equivariant categories Grothendieck group associated with a semi-group K0 of symmetric monoidal categories K0 of exact categories - definitions... more...