Higher real K‐theories and topological automorphic forms

M Behrens, MJ Hopkins - Journal of Topology, 2011 - Wiley Online Library
Given a maximal finite subgroup G of the nth Morava stabilizer group at a prime p, we
address the question: is the associated higher real K‐theory EOn a summand of the K (n) …

The Tate spectrum of the higher real -theories at height

D Heard - arXiv preprint arXiv:1501.07759, 2015 - arxiv.org
Let $ E_n $ be Morava $ E $-theory and let $ G\subset G_n $ be a finite subgroup of $ G_n
$, the extended Morava stabilizer group. Let $ E_ {n}^{tG} $ be the Tate spectrum, defined as …

Algebraic K‐theory over the infinite dihedral group: a controlled topology approach

JF Davis, F Quinn, H Reich - Journal of Topology, 2011 - Wiley Online Library
We use controlled topology applied to the action of the infinite dihedral group on a partially
compactified plane and deduce two consequences for algebraic K‐theory. The first is that …

Idempotent characters and equivariantly multiplicative splittings of K‐theory

B Böhme - Bulletin of the London Mathematical Society, 2020 - Wiley Online Library
We classify the primitive idempotents of the p‐local complex representation ring of a finite
group G in terms of the cyclic subgroups of order prime to p and show that they all come from …

Local Algebraic K-Theory

N Teleman - arXiv preprint arXiv:1307.7014, 2013 - arxiv.org
In this article we address the first part of the programme presented in\cite
{Teleman_arXiv_III},\S 2; we construct the local $ K $-theory level of the index formula. Our …

Gross–Hopkins duals of higher real K–theory spectra

T Barthel, A Beaudry, V Stojanoska - Transactions of the American …, 2019 - ams.org
We determine the Gross–Hopkins duals of certain higher real $ K $–theory spectra. More
specifically, let $ p $ be an odd prime, and consider the Morava $ E $–theory spectrum of …

Algebraic K-theory of groups wreath product with finite groups

SK Roushon - Topology and its Applications, 2007 - Elsevier
The Farrell–Jones Fibered Isomorphism Conjecture for the stable topological pseudoisotopy
theory has been proved for several classes of groups. For example, for discrete subgroups …

Homotopy invariance of non-stable K1-functors

A Stavrova - Journal of K-Theory, 2014 - cambridge.org
Let G be a reductive algebraic group over a field k, such that every semisimple normal
subgroup of G has isotropic rank≥ 2, ie contains (Gm) 2. Let K1G be the non-stable K1 …

The Morava 𝐾-theories of some classifying spaces

NJ Kuhn - Transactions of the American Mathematical Society, 1987 - ams.org
Let $ P $ be a finite abelian $ p $-group with classifying space $ BP $. We compute, in
representation theoretic terms, the Morava $ K $-theories of the stable wedge summands of …

Toward the homotopy groups of the higher real K-theory EO2

V Gorbounov, P Symonds - Contemporary Mathematics, 1998 - books.google.com
Toward the homotopy groups of the higher real K-theory EO2 Page 116 http://dx. doi. org/10.1090/conm/220/03096
Contemporary Mathematics Volume 220, 1998 Toward the homotopy groups of the higher …