Nicolae BOTNARIUC - Editura Universitatii din Bucuresti ...

Maria JOIŢA
HILBERT MODULES OVER LOCALLY C* – ALGEBRAS
Format 14/20, 146 pag., ISBN 973-737-128-3
Valeriu FILIP
Hilbert C*-modules are generalizations of Hilbert spaces by allowing the inner
product to take values in a C*-algebra rather than the field of complex numbers. This
theory has prove to be a convenient tool in the theory of operator algebras, allowing to
study C*-algebras by studying Hilbert C*-modules over them. Thus, the theory of
Hilbert C*-modules is an important tool for studying Morita equivalence of C*-algebras
and its application to group representation theory and crossed product C*-algebras, Ktheory
and KK-theory of operator algebras, completely positive maps between C*algebras,
unbounded operators and quantum groups, vector bundles, noncommutative
geometry, mathematical and theoretical physics. Beside these, theory of Hilbert C*modules
is very interesting on it‟s own.
Locally C*-algebras are generalizations of C*-algebras. Instead of being given by
a single C*-norm, the topology of a locally C*-algebra is defined by a directed family of
C*-seminorms. Such many concepts as Hilbert C*-module, adjointable operator,
compact operator, (induced) representation, strong Morita equivalence can be defined
with obvious modifications in the framework of locally C*-algebras. Most of the basic
properties of Hilbert C*-modules are still valid for Hilbert modules over locally C*algebras,
but the proofs are not always straightforward.
This book is an introduction in theory of Hilbert modules over locally C*-algebras.
The author did not purpose to discuss here all aspects of Hilbert modules over locally
C*-algebras, but she has tried to explain the basic notions and theorems of this theory, a
number important of examples and some results about representations of locally C*algebras.
A significant part of the results presented here was obtained by the author.
The detailed bibliography of theory of Hilbert C*-modules can be found in Hilbert
C*-Modules Homepage.
INTRODUCTORY THERMAL PHYSICS
Format 8/61x86, 210 pag., ISBN 973-737-151-8
Claudia TIMOFTE
–92–
Adresabilitate studenţi, profesori, specialişti
The present set of lectures aims to develop the basic ideas and concepts of Thermal
Physics for a beginning reader, starting from the intuitive counterparts of terms and
adding the necessary amount of rigor needed for both an effective use in solving the
practical work and in preparing for more advanced approaches of the field.
ORDINARY DIFFERENTIAL EQUATIONS
Format 14/20, 260 pag., ISBN 973-737-123-2
Adresabilitate: studenţi, profesori, specialişti
„The purpose of this textbook is to provide a traditional treatment of the theory of
ordinary differential equations. The book is based on some lectures I delivered for a
number of years at the Faculty of Physics of the University of Bucharest and covers the