m at h . A G ] 2 0 Ju n 20 06 REMARKS ON THE STACK OF COHERENT ALGEBRAS

X iv : m at h . Q A / 0 50 40 89 v 4 1 2 Ju n 20 06 GENERALIZED DOUBLE AFFINE HECKE ALGEBRAS OF HIGHER RANK

m at h . FA ] 2 1 Ju n 20 06 OPERATOR AMENABILITY OF FOURIER – STIELTJES ALGEBRAS , II

We give an example of a non-compact, locally compact group G such that its Fourier–Stieltjes algebra B(G) is operator amenable. Furthermore, we characterize those G for which A * (G)—the spine of B(G) as introduced by M. Ilie and the second named author—is operator amenable and show that A * (G) is operator weakly amenable for each G.

ar X iv : m at h / 02 06 13 5 v 1 [ m at h . D G ] 1 3 Ju n 20 02 PROJECTIVE PLANES , SEVERI VARIETIES AND SPHERES

A classical result asserts that the complex projective plane modulo complex conjugation is the 4-dimensional sphere. We generalize this result in two directions by considering the projective planes over the normed real division algebras and by considering the complexifications of these four projective planes.

ar X iv : m at h / 06 07 45 1 v 4 [ m at h . R T ] 1 7 Ju n 20 07 BLOCKS OF CYCLOTOMIC HECKE ALGEBRAS

This paper classifies the blocks of the cyclotomic Hecke algebras of type G(r, 1, n) over an arbitrary field. Rather than working with the Hecke algebras directly we work instead with the cyclotomic Schur algebras. The advantage of these algebras is that the cyclotomic Jantzen sum formula gives an easy combinatorial characterization of the blocks of the cyclotomic Schur algebras. We obtain an e...

ar X iv : m at h / 06 05 64 5 v 3 [ m at h . A G ] 3 0 Ju n 20 06 ON NORI ’ S FUNDAMENTAL GROUP SCHEME

The aim of this note is to give two structure theorems on Nori’s fundamental group scheme of a proper connected variety defined over a perfect field and endowed with a rational point.