A Projective C*-Algebra Related to K-Theory

The C*-algebra qC is the smallest of the C*-algebras qA introduced by Cuntz in the context of KK-theory. An important property of qC is the natural isomorphism of K0 of D with classes of homomorphism from qC to matrix algebras over D. Our main result concerns the exponential (boundary) map from K0 of a quotient B to K1 of an ideal I. We show if a K0 element is realized as a homomorphism from qC to B then its boundary is realized as a unitary in the unitization of I. The picture we obtain of the exponential map is based on a projective C*-algebra P that is universal for a set of relations slightly weaker than the relations that define qC. A new, shorter proof of the semiprojectivity of qC is described. Smoothing questions related the relations for qC are addressed.Comment: 11 pages. Added a result about the boundary map in K-theor

The influence of the Apocalyptics and the Apocrypha on the teaching of Jesus

Thesis (M.A.)--Boston Universit

\u3ci\u3ePseudachorutes (Pseudachorutes) Orientalis\u3c/i\u3e (Collembola: Hypogastruridae), New Species From New York

While examining pitfall samples collected at the Brookhaven National Laboratory\u27s Gamma Forest · in 1968 by Dr. George E. Klee, I encountered an unknown species of Pselldachorutes. The purpose of this paper is to describe that species

Factorization of Matrices of Quaternions

We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We prove there is a Schur factorization for commuting matrices, and from this derive the spectral theorem. We do not consider algorithms, but do point to some of the numerical literature. Rather than work directly with matrices of quaternions, we work with complex matrices with a specific symmetry based on the dual operation. We discuss related results regarding complex matrices that are self-dual or symmetric, but perhaps not Hermitian.Comment: Corrected proofs of Theorem 2.4(2) and Theorem 3.