A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in
quantum field and quantum gravity theories is presented with a view to developing a wide …

GROUPOID ALGEBRAS FOR TRANSITIVE GROUPOIDS MADALINA ROXANA BUNECI (to
appear in Math. Reports, vol. 5 (55), nr. 1(2003), 9-26) ( Page 1 GROUPOID ALGEBRAS FOR …

Å È Â Page 1 Å È Â Mathematical Physics Electronic Journal ISSN 1086-6655 Volume 8,
2002 Paper 4 Received: Mar 24, 2002, Revised: Aug 13, 2002, Accepted: Aug 13, 2002 …

Novel approaches to extended quantum symmetry, paracrystals, quasicrystals,
noncrystalline solids, topological order, supersymmetry and spontaneous, global symmetry …

Abstract C. Anantharaman-Delaroche and J. Renault have proved that the amenability of a
topological locally compact groupoid implies the equality of the reduced and the full C …

Let G be a topological groupoid r and d be the range map respectively the domain map of G.
The relation u~ v if there is x such that r (x)= u and d (x)= v is an equivalence relation on the …

Suppose G is an amenable non-compact locally compact Hausdorff topological group, and
m is an invariant mean on L∞(G). Then m (f)= 0 for all f∈ C0 (G), the space of complex …

For developing an algebraic theory of functions on a locally compact groupoid, one needs
an analogue of Haar measure on locally compact groups. This analogue is a system of …

We shall prove that the C*-algebra of the locally compact second countable transitive
groupoid G is∗-isomorphic to the C*-algebra of the groupoid G (0)× H× G (0) endowed with …

Abstract C. Anantharaman-Delaroche and J. Renault have proved that the amenability of a
topological locally compact groupoid implies the equality of the reduced and the full C …