Guccione, JA Cyclic homology of algebras with one generator. (1991). K-Theory. 5 (1):51-69
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1. Introduction. Given C*-algebras A and B with modest hypotheses, GG Kasparov [21] has
defined groups KKi (A, B)(j 0, 1) which play a fundamen-tal role in the modem theory of C …

K-HOMOLOGY OF UNIVERSAL SPACES AND LOCAL COHOMOLOGY OF THE
REPRESENTATION RING Page 1 CXbS9383t93 %.a) + 0.00 5: 1993 Perpnmon Prw Ltd K-HOMOLOGY …

Let A be a ring with identity. For any group B, let Is (G, A) be the set of isomorphism classes
of representation of G over A, that is, finitely generated projective A-modules on which G acts …

The primary purpose of this paper is to study the canonical involution on the algebraic K-
theory of spaces functor A (X). From a technical point of view the main result is that several …

For a commutative ring R, K*( is a graded ring, and clearly the graded ring structure on is
trivial. Here we will study algebraic K-theory with coefficients Quillen defines Ki (R) rri (BGL …

The semi-topological K-theory of a complex variety X, written K* sst (X), interpolates between
the algebraic K-theory, K* alg (X), of X and the topological K-theory, K top*(X an), of the …

real, complex or quaternionic numbers. We will use k to denote the cohomology theory
obtained from the Bott spectrum by replacing the n-th space of the spectrum by its n …

Topological cyclic homology is a refinement of Connes–Tsygan's cyclic homology which
was introduced by Bökstedt–Hsiang–Madsen in 1993 as an approximation to algebraic K …

A nected generalized cohomology theory. The groups KA are the coefficient groups of this
cohomology theory. One can prove that they agree with the K-groups in degrees 2 …