Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalising Group Algebras   This paper has been withdrawn by the author, since the main result, the
existence and uniqueness theorem for host algebras, Theorem 3.4, is wrong for
the following reasons.
  In Definition 3.1 we wanted to generalise the concept of an open projection
away from universal enveloping Von Neumann algebras, so that it makes sense for
any Von Neumann algebra N. We defined a projection P in N as open, if N.P is
the intersection of left kernels of normal states of N. Unfortunately, every
projection P in N will satisfy this criterion by Theorem 3.6.11 of Pedersen
(C*-algebras and their automorphism groups). Hence if N = A" for a C*-algebra
A, then this definition of an open projection does not define the usual open
projections (cf. Proposition 3.11.9 in Pedersen). Hence the proof of Theorem
3.4, which rests on this, fails.

1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg