# Download Bivariant Periodic Cyclic Homology (Chapman & Hall/CRC Research Notes in Mathematics) fb2

### by Christian Grobaek

**ISBN:**084930380X**Category:**Math & Science**Author:**Christian Grobaek**Subcategory:**Mathematics**Other formats:**doc docx doc txt**Language:**English**Publisher:**Chapman & Hall/CRC; 2nd edition (May 1999)**Pages:**114 pages**FB2 size:**1101 kb**EPUB size:**1263 kb**Rating:**4.4**Votes:**786

In general, it is not projective, but this problem disappears if we restrict attention to suitable subcategories such as the subcategory of Fréchet spaces, which we identify with a full subcategory of ← − − Ban. For an algebra A in C or in ← − C, let HP(A) be the Z/2-graded chain.

Bivariant Periodic Cyclic Homology book. Goodreads helps you keep track of books you want to read. Start by marking Bivariant Periodic Cyclic Homology as Want to Read: Want to Read savin. ant to Read. Recent work by Cuntz and Quillen on bivariant periodic.

Mathematical Methods of Many-Body Quantum Field Theory. Analytic Hilbert Modules.

Like Hochschild homology, cyclic homology is an additive invariant of dg-categories or stable infinity-categories, in the sense . There are closely related variants called periodic cyclic homology? and negative cyclic homology?.

Like Hochschild homology, cyclic homology is an additive invariant of dg-categories or stable infinity-categories, in the sense of noncommutative motives. It also admits a Dennis trace map from algebraic K-theory, and has been successful in allowing computations of the latter. There are several definitions for the cyclic homology of an associative algebra. AA. (over a commutative ring. There is a version for ring spectra called topological cyclic homology.

Paperback: 432 pages. Publisher: Longman Higher Education (September 1988).

This series is designed to capture new developments and summarize what is known over the entire field of mathematics, both pure and applied.

We prove that bivariant equivariant periodic cyclic homology is homotopy invariant, stable and satisfies excision in both variables. Moreover we construct the exterior product which generalizes the obvious composition product

We prove that bivariant equivariant periodic cyclic homology is homotopy invariant, stable and satisfies excision in both variables. Moreover we construct the exterior product which generalizes the obvious composition product. Finally we prove a Green-Julg theorem in cyclic homology for compact groups and the dual result for discrete groups. Subjects: K-Theory and Homology (math. MSC classes: 19D55, 55N91, 19L47, 46A17.

The periodic cyclic homology of crossed products of finite type algebras. We define and study equivariant periodic cyclic homology for locally compact groups. This can be viewed as a non-commutative generalization of equivariant de Rham cohomology. Advances in Mathematics, Vol. 306, Issue. Although the construction resembles the Cuntz–Quillen approach to ordinary cyclic homology, a completely new feature in the equivariant setting is the fact that the basic ingredient in the theory is not a complex in the usual sense. As a consequence, in the equivariant context only the periodic cyclic theory can be defined in complete generality.

Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

Springer, Berlin (1992).