Equivariant 𝐸-theory for 𝐶*-algebras

Discrete asymptotic homomorphisms in E-theory and KK-theory

“…2 A, B) D(A, B), are obtained by using Theorem 3.6 and Theorem 3.9, respectively. The fact that the suspension map is an isomorphism follows in the same way as in Propositions 6.16 and 6.17 of [8].…”

“…By Proposition 6.16 of [8], S 3 K and SK are equivalent in the category of homotopy classes of asymptotic homomorphisms. 2 A, B) D(A, B), are obtained by using Theorem 3.6 and Theorem 3.9, respectively.…”

“…These restrictions will be in force in the rest of the paper. The constructions in this section are all essentially identical to the corresponding constructions in [3] and [8]. The only difference is that we have to take additional care to handle sequentially trivial asymptotic homomorphisms.…”

“…The methods are basically those developed in [3], [2], [5] and [8] and they all build on the Bott-periodicity theorem of Cuntz, [4] [8]. Accordingly what we offer in this section is to a large extend merely a reading guide which shows how the known arguments can be adopted to deal with sequentially trivial asymptotic homomorphisms.…”

Проблема Каждана - Мильмана Для Полупростых Компактных Групп Ли

“…Другие результаты по теории одномерных квазипредставлений, одномерных псевдопредставлений, квазихарактеров и псевдохарактеров и и некоторые при-ложения этой теории можно найти в [7], [9], [10]- [12], [18]- [24], [28]- [59], [63], [66], [73], [74], [106]- [110], [113], [118], [133], [139], [188]- [191], [193], [196], [197]. § II.…”