Euclidean-valued group cohomology is always reduced

Group Knowledge Isn't Always Distributed (neither Is It Always Implicit)

In this paper we study the notion of group knowledge in a modal epistemic context. Starting with the standard de nition of this kind of knowledge on Kripke models, we show that this de nition gives rise to some quite counter-intuitive behaviour. Firstly, using a strong notion of derivability, we show that group knowledge in a state can always, but trivially be derived from each of the agents' i...

Locally-finitely-valued Cohomology Groups

Module cohomology group of inverse semigroup algebras

Let $S$ be an inverse semigroup and let $E$ be its subsemigroup of idempotents. In this paper we define the $n$-th module cohomology group of Banach algebras and show that the first module cohomology group $HH^1_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is zero, for every odd $ninmathbb{N}$. Next, for a Clifford semigroup $S$ we show that $HH^2_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is a Banach sp...

Group knowledge is not always distributed ( neither is

In this paper we study the notion of group knowledge in a modal epistemic context. Starting with the standard definition of this kind of knowledge on Kripke models, we show that this definition gives rise to some quite counter-intuitive behaviour. Firstly, using a strong notion of derivability, we show that group knowledge in a state can always, but trivially, be derived from each of the agents...

Supersymmetric Euclidean Field Theories and Generalized Cohomology

Lectures notes from a topics course on the definition of supersymmetric Euclidean field theories and their relation to generalized cohomology. Notre Dame. Spring 2009 Date: June 15, 2009.