Robert S. Doran, "Superstrings, Geometry, Topology, and C*-algebras "
English | ISBN: 0821848879 | 2010 | 249 pages | PDF | 5 MB
English | ISBN: 0821848879 | 2010 | 249 pages | PDF | 5 MB
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Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
Date: 19 Sep 2022 04:03:55
Classification of Nuclear C*-Algebras. Entropy in Operator Algebras by Mikael Rørdam, Erling Størmer
English | PDF | 2002 | 206 Pages | ISBN : 3540423052 | 18.2 MB
This EMS volume consists of two parts, written by leading scientists in the field of operator algebras and non-commutative geometry. The first part, written by M.Rordam entitled "Classification of Nuclear, Simple C*-Algebras" is on Elliotts classification program. The emphasis is on the classification by Kirchberg and Phillips of Kirchberg algebras: purely infinite, simple, nuclear separable C*-algebras. This classification result is described almost with full proofs starting from Kirchbergs tensor product theorems and Kirchbergs embedding theorem for exact C*-algebras.
A Short Course on Spectral Theory
Date: 1 Aug 2022 14:22:05
A Short Course on Spectral Theory by William Arveson
English | PDF | 2002 | 144 Pages | ISBN : 0387953000 | 12.3 MB
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis.