### Some articles on *connes*:

Baum–

... In mathematics, specifically in operator K-theory, the Baum–

**Connes**Conjecture... In mathematics, specifically in operator K-theory, the Baum–

**Connes**conjecture suggests a link between the K-theory of the C*-algebra of a group and the K-homology of the corresponding classifying space of ... related to index theory, as the assembly map is a sort of index, and it plays a major role in Alain**Connes**' noncommutative geometry program ...Attempts To Prove The Riemann Hypothesis - Operator Theory

... In a connection with this quantum mechanical problem Berry and

... In a connection with this quantum mechanical problem Berry and

**Connes**had proposed that the inverse of the potential of the Hamiltonian is connected to the half-derivative of the function then, in Berry–**Connes**... determinant (Hadamard product) as proven by**Connes**and others, in this approach ...Subfactor - Principal Graphs

... The relative tensor product, described in Jones (1983) and often called

... The relative tensor product, described in Jones (1983) and often called

**Connes**fusion after a prior definition for general von Neumann algebras of Alain**Connes**, can be used to define new ... It is multiplicative with respect to**Connes**fusion ...Criticism Of Non-standard Analysis -

... Geometry and Physics 23 ('97), 206–234, Alain

**Connes**' Criticism... Geometry and Physics 23 ('97), 206–234, Alain

**Connes**wrote "The answer given by non-standard analysis, namely a nonstandard real, is equally disappointing every non-standard ... In his '95 article "Noncommutative geometry and reality"**Connes**develops a calculus of infinitesimals based on operators in Hilbert space ...**Connes**points out the following three aspects of Robinson's hyperreals Katz Katz analyze**Connes**' criticisms of non-standard analysis, and challenge the specific claims (1) and ...Von Neumann Algebra - Factors - Type III Factors

... More precisely, if the

... More precisely, if the

**Connes**spectrum (of its modular group) is 1 then the factor is of type III0, if the**Connes**spectrum is all integral powers of λ for 0 < λ < 1, then the type is III ... The**Connes**spectrum is a closed subgroup of the positive reals, so these are the only possibilities.) The only trace on type III factors takes value ∞ on all non-zero positive ...Main Site Subjects

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