arXiv subjects

R. J. Plymen

Publications and source records attributed to R. J. Plymen.

3 recordsLinked to original sources

arXiv2004

Entire cyclic homology of Schatten ideals

Certain cocycles constructed by Connes are characters of $p$-summable Fredholm modules. In this article, we establish some consequences of the universal properties which these characters enjoy. Our main technical result is that the entire cyclic cohomology of the p-th Schatten ideal L^p (respectively, homology) is independent of p and isomorphic to the entire cyclic cohomology (respectively, homology) of the ideal of trace class operators L^1.

math.KT↗

arXiv2001

Reduced C*-algebra of the p-adic group GL(n) II

Let G be the p-adic group GL(n). Using C*-algebra techniques, we obtain a very explicit description of the tempered dual of G in terms of Bernstein parameters and extended quotients. We also prove that Plancherel measure (on the tempered dual of a reductive p-adic group) is rotation-invariant.

math.OA↗

arXiv2001

Fourier algebra of a compact Lie group

Let G be a compact connected Lie group. We prove that the Fourier algebra A(G) is weakly amenable if and only if G is abelian.

math.FA↗