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Full-Text Articles in Mathematics
Ossa's Theorem And Adams Covers, Robert R. Bruner
Ossa's Theorem And Adams Covers, Robert R. Bruner
Mathematics Faculty Research Publications
We show that Ossa’s theorem splitting ku ∧ BV for elementary abelian groups V follows from general facts about ku ∧ BZ/2 and Adams covers. For completeness, we also provide the analogous results for ko ∧ BV .
Invariant Measure For Diffusions With Jumps, Jose-Luis Menaldi, Maurice Robin
Invariant Measure For Diffusions With Jumps, Jose-Luis Menaldi, Maurice Robin
Mathematics Faculty Research Publications
Our purpose is to study an ergodic linear equation associated to diffusion processes with jumps in the whole space. This integro-differential equation plays a fundamental role in ergodic control problems of second order Markov processes. The key result is to prove the existence and uniqueness of an invariant density function for a jump diffusion, whose lower order coefficients are only Borel measurable. Based on this invariant probability, existence and uniqueness (up to an additive constant) of solutions to the ergodic linear equation are established.
The Topological Snake Lemma And Corona Algebras, Claude Schochet
The Topological Snake Lemma And Corona Algebras, Claude Schochet
Mathematics Faculty Research Publications
We establish versions of the Snake Lemma from homological algebra in the context of topological groups, Banach spaces, and operator algebras. We apply this tool to demonstrate that if ƒ : B → B′ is a quasi-unital C*-map of separable C*-algebras, so that it induces a map of Corona algebras ƒ̄ : QB → QB′, and if ƒ is mono, then the induced map ƒ̄ is also mono.