The Non-commutative Specker Phenomenon

The Non-abelian Specker-Group Is Free

✍ Andreas Zastrow 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 227 KB

The Non-commutative Landau Problem

✍ P.A. Horváthy 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 119 KB

The Landau problem is discussed in two similar but still different non-commutative frameworks. The "standard" one, where the coupling to the gauge field is achieved using Poisson brackets, yields all Landau levels. The "exotic" approach, where the coupling to the gauge field is achieved using the sy

Integral Non-commutative Spaces

✍ S. Paul Smith 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 163 KB

A non-commutative space X is a Grothendieck category Mod X. We say X is integral if there is an indecomposable injective X-module X such that its endomorphism ring is a division ring and every X-module is a subquotient of a direct sum of copies of X . A noetherian scheme is integral in this sense if

Non-Commutative Martingale Transforms

✍ Narcisse Randrianantoanina 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 275 KB

We prove that non-commutative martingale transforms are of weak type (1,1). More precisely, there is an absolute constant C such that if M is a semi-finite von Neumann algebra and ðM n Þ 1 n¼1 is an increasing filtration of von Neumann subalgebras of M; then for any non-commutative martingale for e

Non-commutative Regular Rings

✍ Wolfgang Rump 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 185 KB

If R is commutative and local, this concept reduces to the classical notion w x of regularity. In contrast to Walker's definition 21 , our concept is invariant under permutation of P P, and it implies that the P are pairwise i

Soft Non-commutative ToralC*-Algebras

✍ Carla Farsi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 419 KB

We define parametrized soft C\*-algebras associated with finitely generated discrete groups and study in detail the ones associated to Z n . We determine the K-theory of the resulting C\*-algebras for large classes of examples.