On the Conjugation Representation of a Locally Compact Group.
On the Dimensions of Automorphism Groups of Eight-Dimensional Double Loops.
On the dimensions of automorphism groups of four-dimensional double loops.
On the distribution of the values of an additive arithmetical function with values in a locally compact abelian group
On the Dual Object of a Compact Connected Group.
On the dual of a Commutative signed Hypergroup.
On the Existence of Exotic Banach-Lie Groups.
On the Existence of Pathological Submeasures and the Construction of Exotic Topological Groups.
On the K-theory of the -algebra generated by the left regular representation of an Ore semigroup
We compute the -theory of -algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the -theory of these semigroup -algebras in terms of the -theory for the reduced group -algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
On the notion of virtual amenability for groups
On the primitive ideal space of a finitely generated nilpotent group.
On the Property P... of Locally Compact Groups
On the S-Euclidean minimum of an ideal class
We show that the S-Euclidean minimum of an ideal class is a rational number, generalizing a result of Cerri. In the proof, we actually obtain a slight refinement of this and give some corollaries which explain the relationship of our results with Lenstra's notion of a norm-Euclidean ideal class and the conjecture of Barnes and Swinnerton-Dyer on quadratic forms. In particular, we resolve a conjecture of Lenstra except when the S-units have rank one. The proof is self-contained but uses ideas from...
On the Siegel-Weil Formula.
On the size of quotients of function spaces on a topological group
For a non-precompact topological group G, we consider the space C(G) of bounded, continuous, scalar-valued functions on G with the supremum norm, together with the subspace LMC(G) of left multiplicatively continuous functions, the subspace LUC(G) of left norm continuous functions, and the subspace WAP(G) of weakly almost periodic functions. We establish that the quotient space LUC(G)/WAP(G) contains a linear isometric copy of , and that the quotient space C(G)/LMC(G) (and a fortiori C(G)/LUC(G))...
On the Spectrum of Convolution Operators on Groups with Polynomial Growth.
On the Structure of Groups with Polynomial Growth.
On the Structure of Locally Compact Topological Groups.
On the Supercuspidal Represewntations of SL2 and ist Two-fold Cover. II.
On the Supercuspidal Represewntations of SL2 and ist Two-fold Cover. I