Measures and idempotents in the non-commutative situation

Börger, Reinhard

doi:10.2478/v10127-011-0023-3

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Measures and idempotents in the non-commutative situation

Tatra Mountains Mathematical Publications

Volume 49 (2011): Issue 1 (August 2011)

By: Reinhard Börger

Open Access

|Nov 2012

Abstract

We investigate measures on sequential orthomodular posets with values in a vector space or a (not necessarily commutative) algebra with reasonable sequential topologies, using a universal property. Unfortunately, the universal measure and the universal multiplicative measure need not coincide any more as in the commutative situation. This may have applications in quantum physics.

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