Titlebook: K-Theory for Group C*-Algebras and Semigroup C*-Algebras; Joachim Cuntz,Siegfried Echterhoff,Guoliang Yu Textbook 2017 Springer Internatio

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978-3-319-59914-4Springer International Publishing AG 2017

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K-Theory for Group C*-Algebras and Semigroup C*-Algebras978-3-319-59915-1Series ISSN 1661-237X Series E-ISSN 2296-5041

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https://doi.org/10.1007/978-3-319-59915-1C*-algebras; group C*-algebras; semigroup-C*-algebras; crossed products; K-theory; KK-theory; bivariant K-

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Introduction,The theory of operator algebras in general and ..-algebras in particular has always benefited hugely and drawn a lot of inspiration from interactions with other areas of mathematics such as geometry, topology, group theory, dynamical systems or number theory, to mention just a few.

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,Crossed products and the Mackey–Rieffel–Green machine,If a locally compact group . acts continuously via *-automorphisms on a ..-algebra ., one can form the full and reduced crossed products . of . by ..

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Textbook 2017eports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as di

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Algebraic actions and their ,,-algebras,ection 3.5.3. Some of these are standard examples in ergodic theory, while others arise from semigroups and semigroup actions of number-theoretic origin. All this can be subsumed under the heading “algebraic actions”.

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