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
On the support of the conjugation representation for solvable locally compact groups.
On the Symmetry of Generalized L1-Algebras.
On the Type of a Discrete Crossed Product.
On the uniqueness of uniform norms and C*-norms
We prove that a semisimple, commutative Banach algebra has either exactly one uniform norm or infinitely many uniform norms; this answers a question asked by S. J. Bhatt and H. V. Dedania [Studia Math. 160 (2004)]. A similar result is proved for C*-norms on *-semisimple, commutative Banach *-algebras. These properties are preserved if the identity is adjoined. We also show that a commutative Beurling *-algebra L¹(G,ω) has exactly one uniform norm if and only if it has exactly one C*-norm; this is...
On the Wiener-Eberlein theorem
On varieties of topological groups generated by solvable groups
On Weyl's reciprocity between group algebras and their commutants
On zero-dimensionality of subgroups of locally compact groups
Improving the recent result of the author we show that is equivalent to for every subgroup of a Hausdorff locally compact group .
One Parameter Subgroups and Nonstandard Analysis.