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Monotone Complete C*-algebras and Generic Dynamics (Paperback, Softcover reprint of the original 1st ed. 2015)
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Monotone Complete C*-algebras and Generic Dynamics (Paperback, Softcover reprint of the original 1st ed. 2015)
Series: Springer Monographs in Mathematics
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This monograph is about monotone complete C*-algebras, their
properties and the new classification theory. A self-contained
introduction to generic dynamics is also included because of its
important connections to these algebras. Our knowledge and
understanding of monotone complete C*-algebras has been transformed
in recent years. This is a very exciting stage in their
development, with much discovered but with many mysteries to
unravel. This book is intended to encourage graduate students and
working mathematicians to attack some of these difficult questions.
Each bounded, upward directed net of real numbers has a limit.
Monotone complete algebras of operators have a similar property. In
particular, every von Neumann algebra is monotone complete but the
converse is false. Written by major contributors to this field,
Monotone Complete C*-algebras and Generic Dynamics takes readers
from the basics to recent advances. The prerequisites are a
grounding in functional analysis, some point set topology and an
elementary knowledge of C*-algebras.
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