The re-organization of Hopf threw me off somewhat, so I might have
missed a paper.  Let me know if you think I missed yours. 

Mark Hovey

New papers appearing on hopf between 3/5/01 and 5/16/01

1.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Aguade-Ruiz/mapsBKtoBK

Maps between classifying spaces of Kac-Moody groups

by Jaume Aguad\'e and Albert Ru\'iz
(aguade@mat.uab.es, cirera@mat.uab.es)

Kac-Moody groups are an important generalisation of
Lie groups. Roughly speaking, they are like "Lie groups
with infinite Weyl groups". 
Let K be the unitary form of a Kac-Moody group of rank two.
In this paper we determine the self maps of BK. 

Contents:
1. Introduction.
2. Rank two Kac-Moody groups.
3. Relations between global and local maps.
4. Maps into BK^p and representations.
5. Admissible matrices.
6. Groups with the same classifying space.
7. Adams maps.
8. Homotopically trivial self maps.
9. Detecting maps on the maximal torus.
10. [BK,BK]. 

2.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Costenoble-May-Waner/CMWfinal

Equivariant orientation theory

by S.R. Costenoble, J.P. May, and S. Waner

subjclass: Primary 55P91; 
Secondary 18B40, 20L15, 55N25, 55N91, 55P20, 55R91, 57Q91, 57R91

Hofstra University, University of Chicago, and Hofstra University

Steven.R.Costenoble@Hofstra.edu, may@uchicago.edu, matszw@hofstra.edu

We give a long overdue theory of orientations of G-vector 
bundles, topological G-bundles, and spherical G-fibrations, 
where G is a compact Lie group. The notion of equivariant 
orientability is clear and unambiguous, but it is surprisingly 
difficult to obtain a satisfactory notion of an equivariant 
orientation such that every orientable G-vector bundle admits 
an orientation. Our focus here is on the geometric and homotopical 
aspects, rather than the cohomological aspects, of orientation 
theory. Orientations are described in terms of functors defined
on equivariant fundamental groupoids of base G-spaces, and the 
essence of the theory is to construct an appropriate universal 
target category of G-vector bundles over orbit spaces G/H. 
The theory requires new categorical concepts and constructions 
that should be of interest in other subjects where analogous 
structures arise. 

3.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Notbohm/bdi4

(This is a new version of an paper previously announced). 

          ON THE 2-COMPACT GROUP DI(4) 
         Author:  D. Notbohm


Besides the simple connected compact Lie groups there exists one further
simple connected 2-compact group, constructed by Dwyer and Wilkerson,
the group $DI(4)$. The mod-2 cohomology of the associated classifying
space $BDI(4)$ realizes the rank 4 mod-2 Dickson invariants.  We show
that mod-2 cohomology determines the homotopy type of the space $BDI(4)$
and that the maximal torus normalizer determines the isomorphism type of
$DI(4)$ as 2-compact group. We also calculate the set of homotopy
classes of self maps of $BDI(4)$.

4.
http://hopf.math.purdue.edu/cgi-bin/generate?/pub/Notbohm/orthogonal

(This is a new version of a paper previously announced).

     A UNIQUENESS RESULT FOR ORTHOGONAL GROUPS AS 2-COMPACT GROUPS
                            D. Notbohm

Two connected compact Lie groups are isomorphic if and only if their
maximal torus normalizer are isomorphic. It is conjectured that this
result generalizes to \pcg s. Here, we prove the generalization for
orthogonal groups $O(n)$, the special orthogonal groups $SO(2k+1)$ and
the spinor groups $Spin(2k+1)$ considered as 2-compact groups.